224536312 has 96 divisors (see below), whose sum is σ = 569772000. Its totient is φ = 80720640.

The previous prime is 224536309. The next prime is 224536339. The reversal of 224536312 is 213635422.

224536312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×224536312² = 100833110813122688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86814 + ... + 89362.

It is an arithmetic number, because the mean of its divisors is an integer number (5935125).

Almost surely, 2^224536312 is an apocalyptic number.

224536312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224536312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284886000).

224536312 is an abundant number, since it is smaller than the sum of its proper divisors (345235688).

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

224536312 is a wasteful number, since it uses less digits than its factorization.

224536312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597 (or 2582 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 224536312 is about 14984.5357619113. The cubic root of 224536312 is about 607.8020982754.

The spelling of 224536312 in words is "two hundred twenty-four million, five hundred thirty-six thousand, three hundred twelve".