225377952 has 96 divisors (see below), whose sum is σ = 614319552. Its totient is φ = 72290304.

The previous prime is 225377947. The next prime is 225377983. The reversal of 225377952 is 259773522.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379768 + ... + 380360.

It is an arithmetic number, because the mean of its divisors is an integer number (6399162).

Almost surely, 2^225377952 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 225377952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307159776).

225377952 is an abundant number, since it is smaller than the sum of its proper divisors (388941600).

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

225377952 is a wasteful number, since it uses less digits than its factorization.

225377952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 742 counting only the distinct ones).

The product of its digits is 264600, while the sum is 42.

The square root of 225377952 is about 15012.5931137828. The cubic root of 225377952 is about 608.5605691062.

The spelling of 225377952 in words is "two hundred twenty-five million, three hundred seventy-seven thousand, nine hundred fifty-two".