224700 has 72 divisors (see below), whose sum is σ = 749952. Its totient is φ = 50880.

The previous prime is 224699. The next prime is 224711. The reversal of 224700 is 7422.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 224700.

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, 2047 + ... + 2153.

It is an arithmetic number, because the mean of its divisors is an integer number (10416).

2²²⁴⁷⁰⁰ is an apocalyptic number.

224700 is a gapful number since it is divisible by the number (20) 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 224700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976).

224700 is an abundant number, since it is smaller than the sum of its proper divisors (525252).

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

224700 is a wasteful number, since it uses less digits than its factorization.

224700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 224700 is about 474.0253157797. The cubic root of 224700 is about 60.7949759237.

The spelling of 224700 in words is "two hundred twenty-four thousand, seven hundred", and thus it is an iban number.