225355920 has 40 divisors (see below), whose sum is σ = 698604096. Its totient is φ = 60094848.

The previous prime is 225355913. The next prime is 225355939. The reversal of 225355920 is 29553522.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 469252 + ... + 469731.

Almost surely, 2^225355920 is an apocalyptic number.

225355920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225355920 is an abundant number, since it is smaller than the sum of its proper divisors (473248176).

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

225355920 is a wasteful number, since it uses less digits than its factorization.

225355920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938999 (or 938993 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 225355920 is about 15011.8593118907. The cubic root of 225355920 is about 608.5407383534.

The spelling of 225355920 in words is "two hundred twenty-five million, three hundred fifty-five thousand, nine hundred twenty".