225982944 has 72 divisors (see below), whose sum is σ = 701070552. Its totient is φ = 68478720.

The previous prime is 225982943. The next prime is 225982973. The reversal of 225982944 is 449289522.

225982944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 225982944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225982943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32499 + ... + 38834.

It is an arithmetic number, because the mean of its divisors is an integer number (9737091).

Almost surely, 2^225982944 is an apocalyptic number.

225982944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225982944 is an abundant number, since it is smaller than the sum of its proper divisors (475087608).

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

225982944 is a wasteful number, since it uses less digits than its factorization.

225982944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71360 (or 71349 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 225982944 is about 15032.7290935479. The cubic root of 225982944 is about 609.1046112770.

The spelling of 225982944 in words is "two hundred twenty-five million, nine hundred eighty-two thousand, nine hundred forty-four".