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2422056260 = 2251337793187
BaseRepresentation
bin1001000001011101…
…1010010101000100
320020210112012120102
42100113122111010
514430021300020
61040201023232
7114010065341
oct22027322504
96223465512
102422056260
111033207798
12577184b18
132c7a3bcb0
1418d9617c8
15e2981475
hex905da544

2422056260 has 96 divisors (see below), whose sum is σ = 5698613760. Its totient is φ = 858843648.

The previous prime is 2422056253. The next prime is 2422056281. The reversal of 2422056260 is 626502242.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 758387 + ... + 761573.

It is an arithmetic number, because the mean of its divisors is an integer number (59360560).

Almost surely, 22422056260 is an apocalyptic number.

2422056260 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 2422056260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849306880).

2422056260 is an abundant number, since it is smaller than the sum of its proper divisors (3276557500).

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

2422056260 is a wasteful number, since it uses less digits than its factorization.

2422056260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 2422056260 is about 49214.3907815590. The cubic root of 2422056260 is about 1342.9548405821.

It can be divided in two parts, 242 and 2056260, that added together give a palindrome (2056502).

The spelling of 2422056260 in words is "two billion, four hundred twenty-two million, fifty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 79 130 148 158 185 260 316 370 395 481 740 790 962 1027 1580 1924 2054 2405 2923 3187 4108 4810 5135 5846 6374 9620 10270 11692 12748 14615 15935 20540 29230 31870 37999 41431 58460 63740 75998 82862 117919 151996 165724 189995 207155 235838 251773 379990 414310 471676 503546 589595 759980 828620 1007092 1179190 1258865 1532947 2358380 2517730 3065894 3273049 5035460 6131788 6546098 7664735 9315601 13092196 15329470 16365245 18631202 30658940 32730490 37262404 46578005 65460980 93156010 121102813 186312020 242205626 484411252 605514065 1211028130 2422056260