225210762 has 144 divisors (see below), whose sum is σ = 608212800. Its totient is φ = 59875200.

The previous prime is 225210757. The next prime is 225210773. The reversal of 225210762 is 267012522.

225210762 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1491387 + ... + 1491537.

It is an arithmetic number, because the mean of its divisors is an integer number (4223700).

Almost surely, 2^225210762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225210762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304106400).

225210762 is an abundant number, since it is smaller than the sum of its proper divisors (383002038).

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

225210762 is a wasteful number, since it uses less digits than its factorization.

225210762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 225210762 is about 15007.0237555619. The cubic root of 225210762 is about 608.4100509656.

The spelling of 225210762 in words is "two hundred twenty-five million, two hundred ten thousand, seven hundred sixty-two".