225964536 has 32 divisors (see below), whose sum is σ = 645613440. Its totient is φ = 64561248.

The previous prime is 225964523. The next prime is 225964537. The reversal of 225964536 is 635469522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225964537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 672346 + ... + 672681.

It is an arithmetic number, because the mean of its divisors is an integer number (20175420).

Almost surely, 2^225964536 is an apocalyptic number.

It is an amenable number.

225964536 is an abundant number, since it is smaller than the sum of its proper divisors (419648904).

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

225964536 is a wasteful number, since it uses less digits than its factorization.

225964536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345043 (or 1345039 counting only the distinct ones).

The product of its digits is 388800, while the sum is 42.

The square root of 225964536 is about 15032.1168170022. The cubic root of 225964536 is about 609.0880721200.

It can be divided in two parts, 2259 and 64536, that added together give a triangular number (66795 = T₃₆₅).

The spelling of 225964536 in words is "two hundred twenty-five million, nine hundred sixty-four thousand, five hundred thirty-six".