225273984 has 64 divisors (see below), whose sum is σ = 644427840. Its totient is φ = 69313536.

The previous prime is 225273949. The next prime is 225273989. The reversal of 225273984 is 489372522.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (225273989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17572 + ... + 27555.

It is an arithmetic number, because the mean of its divisors is an integer number (10069185).

Almost surely, 2^225273984 is an apocalyptic number.

225273984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225273984 is an abundant number, since it is smaller than the sum of its proper divisors (419153856).

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

225273984 is a wasteful number, since it uses less digits than its factorization.

225273984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45157 (or 45145 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 225273984 is about 15009.1300214236. The cubic root of 225273984 is about 608.4669773474.

The spelling of 225273984 in words is "two hundred twenty-five million, two hundred seventy-three thousand, nine hundred eighty-four".