225575220 has 192 divisors, whose sum is σ = 740597760. Its totient is φ = 50803200.

The previous prime is 225575213. The next prime is 225575243. The reversal of 225575220 is 22575522.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 459175 + ... + 459665.

It is an arithmetic number, because the mean of its divisors is an integer number (3857280).

Almost surely, 2^225575220 is an apocalyptic number.

225575220 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 225575220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370298880).

225575220 is an abundant number, since it is smaller than the sum of its proper divisors (515022540).

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

225575220 is a wasteful number, since it uses less digits than its factorization.

225575220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 30.

The square root of 225575220 is about 15019.1617608973. The cubic root of 225575220 is about 608.7380702279.

The spelling of 225575220 in words is "two hundred twenty-five million, five hundred seventy-five thousand, two hundred twenty".