225166632 has 64 divisors (see below), whose sum is σ = 604998720. Its totient is φ = 69577728.

The previous prime is 225166621. The next prime is 225166637. The reversal of 225166632 is 236661522.

225166632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 225166593 and 225166602.

It is not an unprimeable number, because it can be changed into a prime (225166637) 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, 23218 + ... + 31454.

It is an arithmetic number, because the mean of its divisors is an integer number (9453105).

Almost surely, 2^225166632 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 225166632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302499360).

225166632 is an abundant number, since it is smaller than the sum of its proper divisors (379832088).

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

225166632 is a wasteful number, since it uses less digits than its factorization.

225166632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8330 (or 8326 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 225166632 is about 15005.5533720020. The cubic root of 225166632 is about 608.3703090971.

The spelling of 225166632 in words is "two hundred twenty-five million, one hundred sixty-six thousand, six hundred thirty-two".