225194580 has 360 divisors, whose sum is σ = 830012568. Its totient is φ = 50761728.

The previous prime is 225194579. The next prime is 225194611. The reversal of 225194580 is 85491522.

225194580 = 430² + 431² + ... + 910².

225194580 is a `hidden beast` number, since 22 + 51 + 9 + 4 + 580 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4137156 + 221057424 = 2034^2 + 14868^2 .

It is a super-2 number, since 2×225194580² = 101425197722752800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 6086322 + ... + 6086358.

Almost surely, 2^225194580 is an apocalyptic number.

225194580 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 225194580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415006284).

225194580 is an abundant number, since it is smaller than the sum of its proper divisors (604817988).

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

225194580 is a wasteful number, since it uses less digits than its factorization.

225194580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 225194580 is about 15006.4845983328. The cubic root of 225194580 is about 608.3954786495.

The spelling of 225194580 in words is "two hundred twenty-five million, one hundred ninety-four thousand, five hundred eighty".