225658224 has 150 divisors (see below), whose sum is σ = 718391520. Its totient is φ = 68333760.

The previous prime is 225658189. The next prime is 225658261. The reversal of 225658224 is 422856522.

225658224 is a `hidden beast` number, since 2 + 2 + 56 + 582 + 24 = 666.

225658224 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 156097 + ... + 157535.

Almost surely, 2^225658224 is an apocalyptic number.

225658224 is a gapful number since it is divisible by the number (24) 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 225658224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359195760).

225658224 is an abundant number, since it is smaller than the sum of its proper divisors (492733296).

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

225658224 is a wasteful number, since it uses less digits than its factorization.

225658224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1455 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 225658224 is about 15021.9247768054. The cubic root of 225658224 is about 608.8127260324.

The spelling of 225658224 in words is "two hundred twenty-five million, six hundred fifty-eight thousand, two hundred twenty-four".