228765625 has 35 divisors (see below), whose sum is σ = 314546755. Its totient is φ = 166375000.

The previous prime is 228765623. The next prime is 228765631. The reversal of 228765625 is 526567822.

The square root of 228765625 is 15125.

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

It can be written as a sum of positive squares in 3 ways, for example, as 200420649 + 28344976 = 14157^2 + 5324^2 .

It is not a de Polignac number, because 228765625 - 2¹ = 228765623 is a prime.

It is a super-2 number, since 2×228765625² = 104667422363281250, which contains 22 as substring.

Its product of digits (403200) is a multiple of the sum of its prime divisors (16).

It is not an unprimeable number, because it can be changed into a prime (228765623) by changing a digit.

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 34 ways as a sum of consecutive naturals, for example, 20796870 + ... + 20796880.

Almost surely, 2^228765625 is an apocalyptic number.

228765625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

228765625 is the 15125-th square number.

228765625 is the 7563-rd centered octagonal number.

It is an amenable number.

228765625 is a deficient number, since it is larger than the sum of its proper divisors (85781130).

228765625 is an frugal number, since it uses more digits than its factorization.

228765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 16 counting only the distinct ones).

The product of its digits is 403200, while the sum is 43.

The cubic root of 228765625 is about 611.5945249066.

The spelling of 228765625 in words is "two hundred twenty-eight million, seven hundred sixty-five thousand, six hundred twenty-five".