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22313434104 = 233213110321613
BaseRepresentation
bin10100110001111110…
…111111101111111000
32010121001122220020100
4110301332333233320
5331144214342404
614130050155400
71416643026513
oct246176775770
963531586210
1022313434104
119510396335
1243a8882b60
132147a74760
14111964dd7a
158a8de2d39
hex531fbfbf8

22313434104 has 96 divisors (see below), whose sum is σ = 65142866880. Its totient is φ = 6859130112.

The previous prime is 22313434103. The next prime is 22313434163. The reversal of 22313434104 is 40143431322.

22313434104 is a `hidden beast` number, since 2 + 2 + 313 + 4 + 341 + 0 + 4 = 666.

It is a super-3 number, since 3×223134341043 (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22313434103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1021602 + ... + 1043214.

It is an arithmetic number, because the mean of its divisors is an integer number (678571530).

Almost surely, 222313434104 is an apocalyptic number.

22313434104 is a gapful number since it is divisible by the number (24) 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 22313434104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32571433440).

22313434104 is an abundant number, since it is smaller than the sum of its proper divisors (42829432776).

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

22313434104 is a wasteful number, since it uses less digits than its factorization.

22313434104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22741 (or 22734 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 22313434104 its reverse (40143431322), we get a palindrome (62456865426).

The spelling of 22313434104 in words is "twenty-two billion, three hundred thirteen million, four hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1103 2206 3309 4412 6618 8824 9927 13236 14339 19854 21613 26472 28678 39708 43017 43226 57356 64839 79416 86034 86452 114712 129051 129678 172068 172904 194517 258102 259356 280969 344136 389034 516204 518712 561938 778068 842907 1032408 1123876 1556136 1685814 2247752 2528721 3371628 5057442 6743256 10114884 20229768 23839139 47678278 71517417 95356556 143034834 190713112 214552251 286069668 309908807 429104502 572139336 619817614 858209004 929726421 1239635228 1716418008 1859452842 2479270456 2789179263 3718905684 5578358526 7437811368 11156717052 22313434104