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2422771344 = 243374119541
BaseRepresentation
bin1001000001101000…
…1000111010010000
320020211212112111000
42100122020322100
514430212140334
61040224222000
7114016134210
oct22032107220
96224775430
102422771344
111033655a74
1257746a900
132c7c2c616
1418daaa240
15e2a73299
hex90688e90

2422771344 has 160 divisors (see below), whose sum is σ = 8141978880. Its totient is φ = 675302400.

The previous prime is 2422771327. The next prime is 2422771349. The reversal of 2422771344 is 4431772242.

2422771344 is a `hidden beast` number, since 2 + 42 + 277 + 1 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2422771299 and 2422771308.

It is not an unprimeable number, because it can be changed into a prime (2422771349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114214 + ... + 133754.

It is an arithmetic number, because the mean of its divisors is an integer number (50887368).

Almost surely, 22422771344 is an apocalyptic number.

2422771344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2422771344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070989440).

2422771344 is an abundant number, since it is smaller than the sum of its proper divisors (5719207536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2422771344 is a wasteful number, since it uses less digits than its factorization.

2422771344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19606 (or 19594 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 2422771344 is about 49221.6552342564. The cubic root of 2422771344 is about 1343.0869915210.

The spelling of 2422771344 in words is "two billion, four hundred twenty-two million, seven hundred seventy-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 41 42 48 54 56 63 72 82 84 108 112 123 126 144 164 168 189 216 246 252 287 328 336 369 378 432 492 504 574 656 738 756 861 984 1008 1107 1148 1476 1512 1722 1968 2214 2296 2583 2952 3024 3444 4428 4592 5166 5904 6888 7749 8856 10332 13776 15498 17712 19541 20664 30996 39082 41328 58623 61992 78164 117246 123984 136787 156328 175869 234492 273574 312656 351738 410361 468984 527607 547148 703476 801181 820722 937968 1055214 1094296 1231083 1406952 1602362 1641444 2110428 2188592 2403543 2462166 2813904 3204724 3282888 3693249 4220856 4807086 4924332 5608267 6409448 6565776 7210629 7386498 8441712 9614172 9848664 11216534 12818896 14421258 14772996 16824801 19228344 19697328 21631887 22433068 28842516 29545992 33649602 38456688 43263774 44866136 50474403 57685032 59091984 67299204 86527548 89732272 100948806 115370064 134598408 151423209 173055096 201897612 269196816 302846418 346110192 403795224 605692836 807590448 1211385672 2422771344