224390000 has 100 divisors (see below), whose sum is σ = 572348040. Its totient is φ = 84960000.

The previous prime is 224389993. The next prime is 224390017. The reversal of 224390000 is 93422.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 189410 + ... + 190590.

Almost surely, 2^224390000 is an apocalyptic number.

224390000 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 224390000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286174020).

224390000 is an abundant number, since it is smaller than the sum of its proper divisors (347958040).

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

224390000 is a wasteful number, since it uses less digits than its factorization.

224390000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 224390000 is about 14979.6528664719. The cubic root of 224390000 is about 607.6700512393.

The spelling of 224390000 in words is "two hundred twenty-four million, three hundred ninety thousand".