22953681 has 9 divisors (see below), whose sum is σ = 33176091. Its totient is φ = 15292872.

The previous prime is 22953647. The next prime is 22953709. The reversal of 22953681 is 18635922.

The square root of 22953681 is 4791.

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

22953681 is a `hidden beast` number, since 2 + 295 + 368 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4601025 + 18352656 = 2145^2 + 4284^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-22953681 is a prime.

It is a super-2 number, since 2×22953681² = 1053742942899522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22951681) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13575 + ... + 15171.

Almost surely, 2^22953681 is an apocalyptic number.

22953681 is the 4791-st square number.

22953681 is the 2396-th centered octagonal number.

It is an amenable number.

22953681 is a deficient number, since it is larger than the sum of its proper divisors (10222410).

22953681 is an frugal number, since it uses more digits than its factorization.

22953681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200 (or 1600 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The cubic root of 22953681 is about 284.1956637831.

Multiplying 22953681 by its sum of digits (36), we get a square (826332516 = 28746²).

The spelling of 22953681 in words is "twenty-two million, nine hundred fifty-three thousand, six hundred eighty-one".