223936128 has 192 divisors, whose sum is σ = 731421600. Its totient is φ = 65193984.

The previous prime is 223936081. The next prime is 223936133. The reversal of 223936128 is 821639322.

223936128 is a `hidden beast` number, since 2 + 2 + 39 + 3 + 612 + 8 = 666.

223936128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 223936092 and 223936101.

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, 284151 + ... + 284937.

Almost surely, 2^223936128 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 223936128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365710800).

223936128 is an abundant number, since it is smaller than the sum of its proper divisors (507485472).

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

223936128 is a wasteful number, since it uses less digits than its factorization.

223936128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 824 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 223936128 is about 14964.4955812082. The cubic root of 223936128 is about 607.2600647774.

The spelling of 223936128 in words is "two hundred twenty-three million, nine hundred thirty-six thousand, one hundred twenty-eight".