224832972 has 144 divisors (see below), whose sum is σ = 668532480. Its totient is φ = 58278528.

The previous prime is 224832929. The next prime is 224832989. The reversal of 224832972 is 279238422.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 224832972.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 511929 + ... + 512367.

Almost surely, 2^224832972 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 224832972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334266240).

224832972 is an abundant number, since it is smaller than the sum of its proper divisors (443699508).

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

224832972 is a wasteful number, since it uses less digits than its factorization.

224832972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 531 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 224832972 is about 14994.4313663440. The cubic root of 224832972 is about 608.0696588875.

The spelling of 224832972 in words is "two hundred twenty-four million, eight hundred thirty-two thousand, nine hundred seventy-two".