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22113523136 = 263131135839
BaseRepresentation
bin10100100110000100…
…011001010111000000
32010002010111100221102
4110212010121113000
5330242030220021
614054145313532
71411664562635
oct244604312700
963063440842
1022113523136
119418564261
1243519358a8
13211551bb43
1410dac9218c
158965a500b
hex5261195c0

22113523136 has 56 divisors (see below), whose sum is σ = 45443973120. Its totient is φ = 10665388800.

The previous prime is 22113523127. The next prime is 22113523139. The reversal of 22113523136 is 63132531122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22113523099 and 22113523108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22113523139) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 599105 + ... + 634943.

It is an arithmetic number, because the mean of its divisors is an integer number (811499520).

Almost surely, 222113523136 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 22113523136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22721986560).

22113523136 is an abundant number, since it is smaller than the sum of its proper divisors (23330449984).

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

22113523136 is a wasteful number, since it uses less digits than its factorization.

22113523136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36193 (or 36183 counting only the distinct ones).

The product of its digits is 6480, while the sum is 29.

The spelling of 22113523136 in words is "twenty-two billion, one hundred thirteen million, five hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 311 496 622 992 1244 1984 2488 4976 9641 9952 19282 19904 35839 38564 71678 77128 143356 154256 286712 308512 573424 617024 1111009 1146848 2222018 2293696 4444036 8888072 11145929 17776144 22291858 35552288 44583716 71104576 89167432 178334864 345523799 356669728 691047598 713339456 1382095196 2764190392 5528380784 11056761568 22113523136