223459152 has 320 divisors, whose sum is σ = 771379200. Its totient is φ = 54190080.

The previous prime is 223459141. The next prime is 223459177. The reversal of 223459152 is 251954322.

223459152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×223459152² = 99867985225118208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3147277 + ... + 3147347.

It is an arithmetic number, because the mean of its divisors is an integer number (2410560).

Almost surely, 2^223459152 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 223459152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385689600).

223459152 is an abundant number, since it is smaller than the sum of its proper divisors (547920048).

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

223459152 is a wasteful number, since it uses less digits than its factorization.

223459152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 148 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 223459152 is about 14948.5501638119. The cubic root of 223459152 is about 606.8286108476.

The spelling of 223459152 in words is "two hundred twenty-three million, four hundred fifty-nine thousand, one hundred fifty-two".