224373240 has 320 divisors, whose sum is σ = 929396160. Its totient is φ = 47278080.

The previous prime is 224373229. The next prime is 224373241. The reversal of 224373240 is 42373422.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224373241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 294460 + ... + 295220.

It is an arithmetic number, because the mean of its divisors is an integer number (2904363).

Almost surely, 2^224373240 is an apocalyptic number.

224373240 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 224373240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464698080).

224373240 is an abundant number, since it is smaller than the sum of its proper divisors (705022920).

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

224373240 is a wasteful number, since it uses less digits than its factorization.

224373240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 224373240 is about 14979.0934305117. The cubic root of 224373240 is about 607.6549216233.

The spelling of 224373240 in words is "two hundred twenty-four million, three hundred seventy-three thousand, two hundred forty".