224881920 has 252 divisors, whose sum is σ = 810975396. Its totient is φ = 59719680.

The previous prime is 224881919. The next prime is 224881927. The reversal of 224881920 is 29188422.

It can be written as a sum of positive squares in 2 ways, for example, as 126157824 + 98724096 = 11232^2 + 9936^2 .

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 (224881927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 933000 + ... + 933240.

Almost surely, 2^224881920 is an apocalyptic number.

224881920 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 224881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405487698).

224881920 is an abundant number, since it is smaller than the sum of its proper divisors (586093476).

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

224881920 is an frugal number, since it uses more digits than its factorization.

224881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 224881920 is about 14996.0634834613. The cubic root of 224881920 is about 608.1137829524.

The spelling of 224881920 in words is "two hundred twenty-four million, eight hundred eighty-one thousand, nine hundred twenty".