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22429854756 = 223210922292
BaseRepresentation
bin10100111000111011…
…000110110000100100
32010220011201200100100
4110320323012300210
5331414020323011
614145405344100
71422555422361
oct247073066044
963804650310
1022429854756
119570082951
12441b868030
132165c1740a
14112acb7468
158b423cd56
hex538ec6c24

22429854756 has 81 divisors (see below), whose sum is σ = 57473594451. Its totient is φ = 7375675968.

The previous prime is 22429854691. The next prime is 22429854761. The reversal of 22429854756 is 65745892422.

The square root of 22429854756 is 149766.

It is a perfect power (a square), and thus also a powerful number.

22429854756 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 98 + 547 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9814072356 + 12615782400 = 99066^2 + 112320^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 97946850 + ... + 97947078.

Almost surely, 222429854756 is an apocalyptic number.

22429854756 is the 149766-th square number.

It is an amenable number.

22429854756 is an abundant number, since it is smaller than the sum of its proper divisors (35043739695).

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

22429854756 is a wasteful number, since it uses less digits than its factorization.

22429854756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 343 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 22429854756 in words is "twenty-two billion, four hundred twenty-nine million, eight hundred fifty-four thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 229 327 436 458 654 687 916 981 1308 1374 1962 2061 2748 3924 4122 8244 11881 23762 24961 35643 47524 49922 52441 71286 74883 99844 104882 106929 142572 149766 157323 209764 213858 224649 299532 314646 427716 449298 471969 629292 898596 943938 1887876 2720749 5441498 5716069 8162247 10882996 11432138 16324494 17148207 22864276 24486741 32648988 34296414 48973482 51444621 68592828 97946964 102889242 205778484 623051521 1246103042 1869154563 2492206084 3738309126 5607463689 7476618252 11214927378 22429854756