225080640 has 224 divisors, whose sum is σ = 804672000. Its totient is φ = 59222016.

The previous prime is 225080627. The next prime is 225080689. The reversal of 225080640 is 46080522.

It is a super-2 number, since 2×225080640² = 101322589005619200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 941641 + ... + 941879.

Almost surely, 2^225080640 is an apocalyptic number.

225080640 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 225080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402336000).

225080640 is an abundant number, since it is smaller than the sum of its proper divisors (579591360).

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

225080640 is a wasteful number, since it uses less digits than its factorization.

225080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 225080640 is about 15002.6877591983. The cubic root of 225080640 is about 608.2928529182.

The spelling of 225080640 in words is "two hundred twenty-five million, eighty thousand, six hundred forty".