225503520 has 96 divisors (see below), whose sum is σ = 774930240. Its totient is φ = 54666240.

The previous prime is 225503513. The next prime is 225503527. The reversal of 225503520 is 25305522.

It is an interprime number because it is at equal distance from previous prime (225503513) and next prime (225503527).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (225503527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16075 + ... + 26634.

It is an arithmetic number, because the mean of its divisors is an integer number (8072190).

Almost surely, 2^225503520 is an apocalyptic number.

225503520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225503520 is an abundant number, since it is smaller than the sum of its proper divisors (549426720).

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

225503520 is a wasteful number, since it uses less digits than its factorization.

225503520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42738 (or 42730 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 225503520 is about 15016.7746204037. The cubic root of 225503520 is about 608.6735667704.

The spelling of 225503520 in words is "two hundred twenty-five million, five hundred three thousand, five hundred twenty".