224053200 has 360 divisors, whose sum is σ = 942671808. Its totient is φ = 48107520.

The previous prime is 224053199. The next prime is 224053259. The reversal of 224053200 is 2350422.

224053200 is digitally balanced in base 3, 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 (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 428139 + ... + 428661.

Almost surely, 2^224053200 is an apocalyptic number.

224053200 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 224053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471335904).

224053200 is an abundant number, since it is smaller than the sum of its proper divisors (718618608).

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

224053200 is a wasteful number, since it uses less digits than its factorization.

224053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 224053200 is about 14968.4067288406. The cubic root of 224053200 is about 607.3658698947.

The spelling of 224053200 in words is "two hundred twenty-four million, fifty-three thousand, two hundred".