224400120 has 64 divisors (see below), whose sum is σ = 769374720. Its totient is φ = 51291264.

The previous prime is 224400097. The next prime is 224400131. The reversal of 224400120 is 21004422.

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 224400120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132732 + ... + 134411.

It is an arithmetic number, because the mean of its divisors is an integer number (12021480).

Almost surely, 2^224400120 is an apocalyptic number.

224400120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224400120 is an abundant number, since it is smaller than the sum of its proper divisors (544974600).

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

224400120 is a wasteful number, since it uses less digits than its factorization.

224400120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267164 (or 267160 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 224400120 is about 14979.9906542027. The cubic root of 224400120 is about 607.6791864184.

Adding to 224400120 its reverse (21004422), we get a palindrome (245404542).

It can be divided in two parts, 2244001 and 20, that added together give a triangular number (2244021 = T₂₁₁₈).

The spelling of 224400120 in words is "two hundred twenty-four million, four hundred thousand, one hundred twenty".