223074432 has 128 divisors (see below), whose sum is σ = 752515200. Its totient is φ = 63728640.

The previous prime is 223074431. The next prime is 223074451. The reversal of 223074432 is 234470322.

223074432 is a `hidden beast` number, since 223 + 0 + 7 + 4 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×223074432³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 223074396 and 223074405.

It is not an unprimeable number, because it can be changed into a prime (223074431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19582 + ... + 28802.

It is an arithmetic number, because the mean of its divisors is an integer number (5879025).

Almost surely, 2^223074432 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 223074432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376257600).

223074432 is an abundant number, since it is smaller than the sum of its proper divisors (529440768).

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

223074432 is an equidigital number, since it uses as much as digits as its factorization.

223074432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9251 (or 9233 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 223074432 is about 14935.6764828380. The cubic root of 223074432 is about 606.4801605705.

The spelling of 223074432 in words is "two hundred twenty-three million, seventy-four thousand, four hundred thirty-two".