22530825 has 48 divisors (see below), whose sum is σ = 42854400. Its totient is φ = 11592000.

The previous prime is 22530811. The next prime is 22530829. The reversal of 22530825 is 52803522.

22530825 = T₇₀₅ + T₇₀₆ + ... + T₇₈₅.

It is not a de Polignac number, because 22530825 - 2⁸ = 22530569 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22530829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19000 + ... + 20150.

It is an arithmetic number, because the mean of its divisors is an integer number (892800).

Almost surely, 2^22530825 is an apocalyptic number.

22530825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22530825 is a deficient number, since it is larger than the sum of its proper divisors (20323575).

22530825 is a wasteful number, since it uses less digits than its factorization.

22530825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 22530825 is about 4746.6646184453. The cubic root of 22530825 is about 282.4396717707.

The spelling of 22530825 in words is "twenty-two million, five hundred thirty thousand, eight hundred twenty-five".