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2242052340 = 2235114218069
BaseRepresentation
bin1000010110100011…
…0000000011110100
312210020211001121120
42011220300003310
514042431133330
61010250543540
7106363062513
oct20550600364
95706731546
102242052340
11a50642120
12526a37bb0
132996663b8
14173aa667a
15d1c76c10
hex85a300f4

2242052340 has 96 divisors (see below), whose sum is σ = 6865568640. Its totient is φ = 542169600.

The previous prime is 2242052303. The next prime is 2242052341. The reversal of 2242052340 is 432502422.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2242052340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242052341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273826 + ... + 281894.

It is an arithmetic number, because the mean of its divisors is an integer number (71516340).

Almost surely, 22242052340 is an apocalyptic number.

2242052340 is a gapful number since it is divisible by the number (20) 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 2242052340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432784320).

2242052340 is an abundant number, since it is smaller than the sum of its proper divisors (4623516300).

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

2242052340 is a wasteful number, since it uses less digits than its factorization.

2242052340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8513 (or 8511 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2242052340 is about 47350.3150992683. The cubic root of 2242052340 is about 1308.8260056807.

Adding to 2242052340 its reverse (432502422), we get a palindrome (2674554762).

The spelling of 2242052340 in words is "two billion, two hundred forty-two million, fifty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 421 660 842 1263 1684 2105 2526 4210 4631 5052 6315 8069 8420 9262 12630 13893 16138 18524 23155 24207 25260 27786 32276 40345 46310 48414 55572 69465 80690 88759 92620 96828 121035 138930 161380 177518 242070 266277 277860 355036 443795 484140 532554 887590 1065108 1331385 1775180 2662770 3397049 5325540 6794098 10191147 13588196 16985245 20382294 33970490 37367539 40764588 50955735 67940980 74735078 101911470 112102617 149470156 186837695 203822940 224205234 373675390 448410468 560513085 747350780 1121026170 2242052340