225214008 has 64 divisors (see below), whose sum is σ = 583864320. Its totient is φ = 72316800.

The previous prime is 225214007. The next prime is 225214027. The reversal of 225214008 is 800412522.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225214007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201066 + ... + 202182.

It is an arithmetic number, because the mean of its divisors is an integer number (9122880).

Almost surely, 2^225214008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225214008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291932160).

225214008 is an abundant number, since it is smaller than the sum of its proper divisors (358650312).

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

225214008 is a wasteful number, since it uses less digits than its factorization.

225214008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 225214008 is about 15007.1319045313. The cubic root of 225214008 is about 608.4129739898.

The spelling of 225214008 in words is "two hundred twenty-five million, two hundred fourteen thousand, eight".