225791520 has 48 divisors (see below), whose sum is σ = 711244800. Its totient is φ = 60210944.

The previous prime is 225791519. The next prime is 225791521. The reversal of 225791520 is 25197522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (225791519) and next prime (225791521).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (225791521) 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 7 ways as a sum of consecutive naturals, for example, 234720 + ... + 235679.

It is an arithmetic number, because the mean of its divisors is an integer number (14817600).

Almost surely, 2^225791520 is an apocalyptic number.

225791520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225791520 is an abundant number, since it is smaller than the sum of its proper divisors (485453280).

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

225791520 is a wasteful number, since it uses less digits than its factorization.

225791520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470417 (or 470409 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 225791520 is about 15026.3608368760. The cubic root of 225791520 is about 608.9325773812.

The spelling of 225791520 in words is "two hundred twenty-five million, seven hundred ninety-one thousand, five hundred twenty".