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22932884416 = 2613211130633
BaseRepresentation
bin10101010110111010…
…000000101111000000
32012012020021020022111
4111112322000233000
5333431304300131
614311335145104
71441204205221
oct252672005700
965166236274
1022932884416
1197a9019542
124540215194
1322161c04c0
141177a1b248
158e34a3ab1
hex556e80bc0

22932884416 has 56 divisors (see below), whose sum is σ = 49240657424. Its totient is φ = 10534164480.

The previous prime is 22932884371. The next prime is 22932884437. The reversal of 22932884416 is 61448823922.

It is a super-2 number, since 2×229328844162 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22932884416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110236 + ... + 240868.

It is an arithmetic number, because the mean of its divisors is an integer number (879297454).

Almost surely, 222932884416 is an apocalyptic number.

22932884416 is a gapful number since it is divisible by the number (26) 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 22932884416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24620328712).

22932884416 is an abundant number, since it is smaller than the sum of its proper divisors (26307773008).

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

22932884416 is a wasteful number, since it uses less digits than its factorization.

22932884416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130869 (or 130859 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 49.

The spelling of 22932884416 in words is "twenty-two billion, nine hundred thirty-two million, eight hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 211 416 422 832 844 1688 2743 3376 5486 6752 10972 13504 21944 43888 87776 130633 175552 261266 522532 1045064 1698229 2090128 3396458 4180256 6792916 8360512 13585832 27171664 27563563 54343328 55127126 108686656 110254252 220508504 358326319 441017008 716652638 882034016 1433305276 1764068032 2866610552 5733221104 11466442208 22932884416