223921296 has 135 divisors (see below), whose sum is σ = 664467609. Its totient is φ = 70390656.

The previous prime is 223921283. The next prime is 223921337. The reversal of 223921296 is 692129322.

The square root of 223921296 is 14964.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 117418896 + 106502400 = 10836^2 + 10320^2 .

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 self number, because there is not a number n which added to its sum of digits gives 223921296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5207451 + ... + 5207493.

Almost surely, 2^223921296 is an apocalyptic number.

223921296 is the 14964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223921296

223921296 is an abundant number, since it is smaller than the sum of its proper divisors (440546313).

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

223921296 is a wasteful number, since it uses less digits than its factorization.

223921296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 77 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The cubic root of 223921296 is about 607.2466575613.

Multiplying 223921296 by its sum of digits (36), we get a square (8061166656 = 89784²).

223921296 divided by its sum of digits (36) gives a square (6220036 = 2494²).

The spelling of 223921296 in words is "two hundred twenty-three million, nine hundred twenty-one thousand, two hundred ninety-six".