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22988422116 = 223211733112557
BaseRepresentation
bin10101011010001101…
…110111101111100100
32012100002202211201100
4111122031313233210
5334040014001431
614321041400100
71442450235552
oct253215675744
965302684640
1022988422116
119827401870
124556939030
13222486734a
141181156bd2
158e82c44e6
hex55a377be4

22988422116 has 144 divisors (see below), whose sum is σ = 64492541568. Its totient is φ = 6845990400.

The previous prime is 22988422111. The next prime is 22988422123. The reversal of 22988422116 is 61122488922.

22988422116 is a `hidden beast` number, since 22 + 98 + 8 + 422 + 116 = 666.

It is not an unprimeable number, because it can be changed into a prime (22988422111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8989110 + ... + 8991666.

It is an arithmetic number, because the mean of its divisors is an integer number (447864872).

Almost surely, 222988422116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22988422116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32246270784).

22988422116 is an abundant number, since it is smaller than the sum of its proper divisors (41504119452).

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

22988422116 is a wasteful number, since it uses less digits than its factorization.

22988422116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2962 (or 2957 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 22988422116 in words is "twenty-two billion, nine hundred eighty-eight million, four hundred twenty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 132 146 198 219 292 311 396 438 622 657 803 876 933 1244 1314 1606 1866 2409 2557 2628 2799 3212 3421 3732 4818 5114 5598 6842 7227 7671 9636 10228 10263 11196 13684 14454 15342 20526 22703 23013 28127 28908 30684 30789 41052 45406 46026 56254 61578 68109 84381 90812 92052 112508 123156 136218 168762 186661 204327 249733 253143 272436 337524 373322 408654 499466 506286 559983 746644 749199 795227 817308 998932 1012572 1119966 1498398 1590454 1679949 2053271 2239932 2247597 2385681 2996796 3180908 3359898 4106542 4495194 4771362 6159813 6719796 7157043 8213084 8747497 8990388 9542724 12319626 14314086 17494994 18479439 24639252 26242491 28628172 34989988 36958878 52484982 58051571 73917756 78727473 104969964 116103142 157454946 174154713 232206284 314909892 348309426 522464139 638567281 696618852 1044928278 1277134562 1915701843 2089856556 2554269124 3831403686 5747105529 7662807372 11494211058 22988422116