225423864 has 64 divisors (see below), whose sum is σ = 635040000. Its totient is φ = 74077920.

The previous prime is 225423841. The next prime is 225423871. The reversal of 225423864 is 468324522.

225423864 is a `hidden beast` number, since 22 + 542 + 38 + 64 = 666.

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 15 ways as a sum of consecutive naturals, for example, 7987 + ... + 22685.

It is an arithmetic number, because the mean of its divisors is an integer number (9922500).

Almost surely, 2^225423864 is an apocalyptic number.

225423864 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 225423864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520000).

225423864 is an abundant number, since it is smaller than the sum of its proper divisors (409616136).

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

225423864 is a wasteful number, since it uses less digits than its factorization.

225423864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14785 (or 14775 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 225423864 is about 15014.1221521606. The cubic root of 225423864 is about 608.6018898234.

The spelling of 225423864 in words is "two hundred twenty-five million, four hundred twenty-three thousand, eight hundred sixty-four".