225631980 has 240 divisors, whose sum is σ = 821088576. Its totient is φ = 50803200.

The previous prime is 225631969. The next prime is 225631993. The reversal of 225631980 is 89136522.

225631980 is a `hidden beast` number, since 2 + 2 + 563 + 1 + 98 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1145242 + ... + 1145438.

Almost surely, 2^225631980 is an apocalyptic number.

225631980 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 225631980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410544288).

225631980 is an abundant number, since it is smaller than the sum of its proper divisors (595456596).

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

225631980 is a wasteful number, since it uses less digits than its factorization.

225631980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 225631980 is about 15021.0512281931. The cubic root of 225631980 is about 608.7891235236.

The spelling of 225631980 in words is "two hundred twenty-five million, six hundred thirty-one thousand, nine hundred eighty".