225219072 has 80 divisors (see below), whose sum is σ = 646208640. Its totient is φ = 69292032.

The previous prime is 225219031. The next prime is 225219091. The reversal of 225219072 is 270912522.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14329 + ... + 25607.

It is an arithmetic number, because the mean of its divisors is an integer number (8077608).

Almost surely, 2^225219072 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 225219072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323104320).

225219072 is an abundant number, since it is smaller than the sum of its proper divisors (420989568).

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

225219072 is a wasteful number, since it uses less digits than its factorization.

225219072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11313 (or 11297 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 225219072 is about 15007.3006233633. The cubic root of 225219072 is about 608.4175340676.

The spelling of 225219072 in words is "two hundred twenty-five million, two hundred nineteen thousand, seventy-two".