224055936 has 128 divisors (see below), whose sum is σ = 712286400. Its totient is φ = 68926464.

The previous prime is 224055913. The next prime is 224055947. The reversal of 224055936 is 639550422.

224055936 is a `hidden beast` number, since 22 + 40 + 5 + 593 + 6 = 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 self number, because there is not a number n which added to its sum of digits gives 224055936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42435 + ... + 47421.

Almost surely, 2^224055936 is an apocalyptic number.

224055936 is a gapful number since it is divisible by the number (26) 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 224055936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356143200).

224055936 is an abundant number, since it is smaller than the sum of its proper divisors (488230464).

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

224055936 is a wasteful number, since it uses less digits than its factorization.

224055936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5023 (or 5005 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 224055936 is about 14968.4981210541. The cubic root of 224055936 is about 607.3683421443.

The spelling of 224055936 in words is "two hundred twenty-four million, fifty-five thousand, nine hundred thirty-six".