224880200 has 192 divisors, whose sum is σ = 599961600. Its totient is φ = 77932800.

The previous prime is 224880167. The next prime is 224880247. The reversal of 224880200 is 2088422.

224880200 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 2×224880200² = 101142208704080000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 224880200.

It is a congruent number.

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, 2709359 + ... + 2709441.

It is an arithmetic number, because the mean of its divisors is an integer number (3124800).

Almost surely, 2^224880200 is an apocalyptic number.

224880200 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 224880200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299980800).

224880200 is an abundant number, since it is smaller than the sum of its proper divisors (375081400).

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

224880200 is a wasteful number, since it uses less digits than its factorization.

224880200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 224880200 is about 14996.0061349681. The cubic root of 224880200 is about 608.1122325708.

The spelling of 224880200 in words is "two hundred twenty-four million, eight hundred eighty thousand, two hundred".