225553320 has 96 divisors (see below), whose sum is σ = 736468200. Its totient is φ = 59867136.

The previous prime is 225553291. The next prime is 225553327. The reversal of 225553320 is 23355522.

It can be written as a sum of positive squares in 4 ways, for example, as 82846404 + 142706916 = 9102^2 + 11946^2 .

It is a super-3 number, since 3×225553320³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (225553327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82536 + ... + 85224.

Almost surely, 2^225553320 is an apocalyptic number.

225553320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225553320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368234100).

225553320 is an abundant number, since it is smaller than the sum of its proper divisors (510914880).

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

225553320 is a wasteful number, since it uses less digits than its factorization.

225553320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 225553320 is about 15018.4326745503. The cubic root of 225553320 is about 608.7183697851.

The spelling of 225553320 in words is "two hundred twenty-five million, five hundred fifty-three thousand, three hundred twenty".