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22630436096 = 281937413067
BaseRepresentation
bin10101000100111000…
…010000110100000000
32011102011011021012212
4111010320100310000
5332321342423341
614221332441252
71430542350542
oct250470206400
964364137185
1022630436096
119663322654
124476a79228
1321986461b8
1411497ab692
158c6b5e5eb
hex544e10d00

22630436096 has 144 divisors (see below), whose sum is σ = 50042516160. Its totient is φ = 10172252160.

The previous prime is 22630436093. The next prime is 22630436111. The reversal of 22630436096 is 69063403622.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22630436093) 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 15 ways as a sum of consecutive naturals, for example, 7377155 + ... + 7380221.

Almost surely, 222630436096 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 22630436096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25021258080).

22630436096 is an abundant number, since it is smaller than the sum of its proper divisors (27412080064).

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

22630436096 is a wasteful number, since it uses less digits than its factorization.

22630436096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 41.

The spelling of 22630436096 in words is "twenty-two billion, six hundred thirty million, four hundred thirty-six thousand, ninety-six".

Divisors: 1 2 4 8 16 19 32 37 38 41 64 74 76 82 128 148 152 164 256 296 304 328 592 608 656 703 779 1184 1216 1312 1406 1517 1558 2368 2432 2624 2812 3034 3067 3116 4736 4864 5248 5624 6068 6134 6232 9472 10496 11248 12136 12268 12464 22496 24272 24536 24928 28823 44992 48544 49072 49856 57646 58273 89984 97088 98144 99712 113479 115292 116546 125747 179968 194176 196288 199424 226958 230584 233092 251494 388352 392576 453916 461168 466184 502988 785152 907832 922336 932368 1005976 1815664 1844672 1864736 2011952 2156101 2389193 3631328 3689344 3729472 4023904 4312202 4652639 4778386 7262656 7378688 7458944 8047808 8624404 9305278 9556772 14525312 14917888 16095616 17248808 18610556 19113544 29050624 32191232 34497616 37221112 38227088 68995232 74442224 76454176 88400141 137990464 148884448 152908352 176800282 275980928 297768896 305816704 353600564 551961856 595537792 611633408 707201128 1191075584 1414402256 2828804512 5657609024 11315218048 22630436096