224229200 has 180 divisors, whose sum is σ = 607782528. Its totient is φ = 79372800.

The previous prime is 224229199. The next prime is 224229211. The reversal of 224229200 is 2922422.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2095547 + ... + 2095653.

Almost surely, 2^224229200 is an apocalyptic number.

224229200 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 224229200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303891264).

224229200 is an abundant number, since it is smaller than the sum of its proper divisors (383553328).

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

224229200 is a wasteful number, since it uses less digits than its factorization.

224229200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 224229200 is about 14974.2846239812. The cubic root of 224229200 is about 607.5248625139.

The spelling of 224229200 in words is "two hundred twenty-four million, two hundred twenty-nine thousand, two hundred".