223642332 has 72 divisors (see below), whose sum is σ = 583390080. Its totient is φ = 72203040.

The previous prime is 223642303. The next prime is 223642337. The reversal of 223642332 is 233246322.

223642332 is a `hidden beast` number, since 2 + 236 + 423 + 3 + 2 = 666.

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 = 223642296 and 223642305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223642337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150063 + ... + 151545.

It is an arithmetic number, because the mean of its divisors is an integer number (8102640).

Almost surely, 2^223642332 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 223642332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291695040).

223642332 is an abundant number, since it is smaller than the sum of its proper divisors (359747748).

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

223642332 is a wasteful number, since it uses less digits than its factorization.

223642332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1618 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 223642332 is about 14954.6759242720. The cubic root of 223642332 is about 606.9943808980.

Adding to 223642332 its reverse (233246322), we get a palindrome (456888654).

The spelling of 223642332 in words is "two hundred twenty-three million, six hundred forty-two thousand, three hundred thirty-two".