Base | Representation |
---|---|
bin | 10101010111001110… |
… | …011110100111001000 |
3 | 2012012121100211001200 |
4 | 111113032132213020 |
5 | 333434142442142 |
6 | 14312050144200 |
7 | 1441300622322 |
oct | 252716364710 |
9 | 65177324050 |
10 | 22938249672 |
11 | 9801053538 |
12 | 4541b82060 |
13 | 221734b600 |
14 | 1178616612 |
15 | 8e3bb364c |
hex | 55739e9c8 |
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".
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