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22938249672 = 233213213732
BaseRepresentation
bin10101010111001110…
…011110100111001000
32012012121100211001200
4111113032132213020
5333434142442142
614312050144200
71441300622322
oct252716364710
965177324050
1022938249672
119801053538
124541b82060
13221734b600
141178616612
158e3bb364c
hex55739e9c8

22938249672 has 108 divisors (see below), whose sum is σ = 67319859555. Its totient is φ = 7052782464.

The previous prime is 22938249671. The next prime is 22938249679. The reversal of 22938249672 is 27694283922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22938249672 is a `hidden beast` number, since 2 + 2 + 9 + 3 + 82 + 496 + 72 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 17692724196 + 5245525476 = 133014^2 + 72426^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=107094.

It is a super-3 number, since 3×229382496723 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22938249671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16705978 + ... + 16707350.

Almost surely, 222938249672 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 22938249672

22938249672 is an abundant number, since it is smaller than the sum of its proper divisors (44381609883).

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

22938249672 is a wasteful number, since it uses less digits than its factorization.

22938249672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 1391 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 22938249672 in words is "twenty-two billion, nine hundred thirty-eight million, two hundred forty-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1373 1521 2028 2746 3042 4056 4119 5492 6084 8238 10984 12168 12357 16476 17849 24714 32952 35698 49428 53547 71396 98856 107094 142792 160641 214188 232037 321282 428376 464074 642564 696111 928148 1285128 1392222 1856296 1885129 2088333 2784444 3770258 4176666 5568888 5655387 7540516 8353332 11310774 15081032 16706664 16966161 22621548 24506677 33932322 45243096 49013354 67864644 73520031 98026708 135729288 147040062 196053416 220560093 294080124 318586801 441120186 588160248 637173602 882240372 955760403 1274347204 1764480744 1911520806 2548694408 2867281209 3823041612 5734562418 7646083224 11469124836 22938249672