224813880 has 192 divisors, whose sum is σ = 768549600. Its totient is φ = 59097600.

The previous prime is 224813879. The next prime is 224813957. The reversal of 224813880 is 88318422.

It is a happy number.

224813880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 981606 + ... + 981834.

Almost surely, 2^224813880 is an apocalyptic number.

224813880 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 224813880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384274800).

224813880 is an abundant number, since it is smaller than the sum of its proper divisors (543735720).

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

224813880 is a wasteful number, since it uses less digits than its factorization.

224813880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 224813880 is about 14993.7947164819. The cubic root of 224813880 is about 608.0524467108.

The spelling of 224813880 in words is "two hundred twenty-four million, eight hundred thirteen thousand, eight hundred eighty".