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23162100481 = 1322325092
BaseRepresentation
bin10101100100100100…
…011001101100000001
32012210012120121122101
4111210210121230001
5334413444203411
614350204110401
71446656414512
oct254444315401
965705517571
1023162100481
119906446a03
1245a4b35401
132251836a00
14119a246a09
1590867e8c1
hex564919b01

23162100481 has 27 divisors (see below), whose sum is σ = 26270349609. Its totient is φ = 20410639392.

The previous prime is 23162100469. The next prime is 23162100557. The reversal of 23162100481 is 18400126132.

The square root of 23162100481 is 152191.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 62964225 + 23099136256 = 7935^2 + 151984^2 .

It is not a de Polignac number, because 23162100481 - 29 = 23162099969 is a prime.

It is a super-2 number, since 2×231621004812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23162100781) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45504855 + ... + 45505363.

Almost surely, 223162100481 is an apocalyptic number.

23162100481 is the 152191-st square number.

23162100481 is the 76096-th centered octagonal number.

It is an amenable number.

23162100481 is a deficient number, since it is larger than the sum of its proper divisors (3108249128).

23162100481 is an frugal number, since it uses more digits than its factorization.

23162100481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Multiplying 23162100481 by its product of nonzero digits (2304), we get a square (53365479508224 = 73051682).

The spelling of 23162100481 in words is "twenty-three billion, one hundred sixty-two million, one hundred thousand, four hundred eighty-one".

Divisors: 1 13 23 169 299 509 529 3887 6617 6877 11707 86021 89401 152191 259081 269261 1978483 3368053 3500393 5958863 43784689 45505109 77465219 137053849 1007047847 1781700037 23162100481