225646356 has 48 divisors (see below), whose sum is σ = 596859200. Its totient is φ = 65774592.

The previous prime is 225646349. The next prime is 225646363. The reversal of 225646356 is 653646522.

225646356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225646349) and next prime (225646363).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35101 + ... + 41028.

Almost surely, 2^225646356 is an apocalyptic number.

225646356 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

225646356 is an abundant number, since it is smaller than the sum of its proper divisors (371212844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225646356 is a wasteful number, since it uses less digits than its factorization.

225646356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76168 (or 76166 counting only the distinct ones).

The product of its digits is 259200, while the sum is 39.

The square root of 225646356 is about 15021.5297489969. The cubic root of 225646356 is about 608.8020527880.

It can be divided in two parts, 22564 and 6356, that added together give a triangular number (28920 = T₂₄₀).

The spelling of 225646356 in words is "two hundred twenty-five million, six hundred forty-six thousand, three hundred fifty-six".