224939520 has 240 divisors, whose sum is σ = 840071232. Its totient is φ = 55296000.

The previous prime is 224939501. The next prime is 224939531. The reversal of 224939520 is 25939422.

224939520 is a `hidden beast` number, since 2 + 249 + 395 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299145 + ... + 299895.

Almost surely, 2^224939520 is an apocalyptic number.

224939520 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 224939520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420035616).

224939520 is an abundant number, since it is smaller than the sum of its proper divisors (615131712).

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

224939520 is a wasteful number, since it uses less digits than its factorization.

224939520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 224939520 is about 14997.9838645066. The cubic root of 224939520 is about 608.1656981438.

The spelling of 224939520 in words is "two hundred twenty-four million, nine hundred thirty-nine thousand, five hundred twenty".