224155152 has 120 divisors (see below), whose sum is σ = 699043800. Its totient is φ = 66576384.

The previous prime is 224155111. The next prime is 224155177. The reversal of 224155152 is 251551422.

224155152 is a `hidden beast` number, since 22 + 41 + 551 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12278016 + 211877136 = 3504^2 + 14556^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52224 + ... + 56352.

It is an arithmetic number, because the mean of its divisors is an integer number (5825365).

Almost surely, 2^224155152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224155152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349521900).

224155152 is an abundant number, since it is smaller than the sum of its proper divisors (474888648).

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

224155152 is a wasteful number, since it uses less digits than its factorization.

224155152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185 (or 4176 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 224155152 is about 14971.8119143943. The cubic root of 224155152 is about 607.4579801247.

The spelling of 224155152 in words is "two hundred twenty-four million, one hundred fifty-five thousand, one hundred fifty-two".