22630689225 has 45 divisors (see below), whose sum is σ = 41932402743. Its totient is φ = 12066090480.

The previous prime is 22630689173. The next prime is 22630689239. The reversal of 22630689225 is 52298603622.

The square root of 22630689225 is 150435.

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

22630689225 is a `hidden beast` number, since 2 + 2 + 630 + 6 + 8 + 9 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8147048121 + 14483641104 = 90261^2 + 120348^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 22630689225 - 2⁷ = 22630689097 is a prime.

It is a super-2 number, since 2×22630689225² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6767904 + ... + 6771246.

Almost surely, 2^22630689225 is an apocalyptic number.

22630689225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22630689225 is the 150435-th square number.

22630689225 is the 75218-th centered octagonal number.

It is an amenable number.

22630689225 is a deficient number, since it is larger than the sum of its proper divisors (19301713518).

22630689225 is an frugal number, since it uses more digits than its factorization.

22630689225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6708 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 22630689225 in words is "twenty-two billion, six hundred thirty million, six hundred eighty-nine thousand, two hundred twenty-five".