224795520 has 128 divisors (see below), whose sum is σ = 796212000. Its totient is φ = 59940864.

The previous prime is 224795509. The next prime is 224795521. The reversal of 224795520 is 25597422.

It is a happy number.

224795520 is a `hidden beast` number, since 2 + 2 + 47 + 95 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224795521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10776 + ... + 23784.

Almost surely, 2^224795520 is an apocalyptic number.

224795520 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 224795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398106000).

224795520 is an abundant number, since it is smaller than the sum of its proper divisors (571416480).

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

224795520 is a wasteful number, since it uses less digits than its factorization.

224795520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13037 (or 13019 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 224795520 is about 14993.1824507007. The cubic root of 224795520 is about 608.0358935412.

The spelling of 224795520 in words is "two hundred twenty-four million, seven hundred ninety-five thousand, five hundred twenty".