225014580 has 144 divisors (see below), whose sum is σ = 787812480. Its totient is φ = 50920704.

The previous prime is 225014557. The next prime is 225014591. The reversal of 225014580 is 85410522.

It is a happy number.

225014580 is a `hidden beast` number, since 22 + 50 + 14 + 580 = 666.

It is a super-2 number, since 2×225014580² = 101263122425152800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133986 + ... + 135654.

It is an arithmetic number, because the mean of its divisors is an integer number (5470920).

Almost surely, 2^225014580 is an apocalyptic number.

225014580 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 225014580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393906240).

225014580 is an abundant number, since it is smaller than the sum of its proper divisors (562797900).

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

225014580 is a wasteful number, since it uses less digits than its factorization.

225014580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 225014580 is about 15000.4859921271. The cubic root of 225014580 is about 608.2333368299.

The spelling of 225014580 in words is "two hundred twenty-five million, fourteen thousand, five hundred eighty".