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22418925952 = 274112733637
BaseRepresentation
bin10100111000010001…
…011010100110000000
32010212102011102211211
4110320101122212000
5331403221112302
614144335215504
71422363504103
oct247021324600
963772142754
1022418925952
119564998985
124418077594
13216388bb77
14112967073a
158b32cead7
hex53845a980

22418925952 has 64 divisors (see below), whose sum is σ = 46113661440. Its totient is φ = 10849628160.

The previous prime is 22418925937. The next prime is 22418925989. The reversal of 22418925952 is 25952981422.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 22418925896 and 22418925905.

It is a congruent number.

It is an unprimeable number.

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, 649678 + ... + 683314.

It is an arithmetic number, because the mean of its divisors is an integer number (720525960).

Almost surely, 222418925952 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 22418925952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23056830720).

22418925952 is an abundant number, since it is smaller than the sum of its proper divisors (23694735488).

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

22418925952 is a wasteful number, since it uses less digits than its factorization.

22418925952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33819 (or 33807 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 49.

The spelling of 22418925952 in words is "twenty-two billion, four hundred eighteen million, nine hundred twenty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 64 82 127 128 164 254 328 508 656 1016 1312 2032 2624 4064 5207 5248 8128 10414 16256 20828 33637 41656 67274 83312 134548 166624 269096 333248 538192 666496 1076384 1379117 2152768 2758234 4271899 4305536 5516468 8543798 11032936 17087596 22065872 34175192 44131744 68350384 88263488 136700768 175147859 176526976 273401536 350295718 546803072 700591436 1401182872 2802365744 5604731488 11209462976 22418925952