225350964 has 96 divisors (see below), whose sum is σ = 613751040. Its totient is φ = 71368704.

The previous prime is 225350921. The next prime is 225350989. The reversal of 225350964 is 469053522.

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 31 ways as a sum of consecutive naturals, for example, 638212 + ... + 638564.

It is an arithmetic number, because the mean of its divisors is an integer number (6393240).

Almost surely, 2^225350964 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 225350964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306875520).

225350964 is an abundant number, since it is smaller than the sum of its proper divisors (388400076).

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

225350964 is a wasteful number, since it uses less digits than its factorization.

225350964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 225350964 is about 15011.6942414905. The cubic root of 225350964 is about 608.5362773360.

The spelling of 225350964 in words is "two hundred twenty-five million, three hundred fifty thousand, nine hundred sixty-four".