223252100 has 36 divisors (see below), whose sum is σ = 486622500. Its totient is φ = 88901760.

The previous prime is 223252061. The next prime is 223252129. The reversal of 223252100 is 1252322.

It can be written as a sum of positive squares in 6 ways, for example, as 1420864 + 221831236 = 1192^2 + 14894^2 .

It is a super-3 number, since 3×223252100³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 18026 + ... + 27774.

Almost surely, 2^223252100 is an apocalyptic number.

223252100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223252100 is an abundant number, since it is smaller than the sum of its proper divisors (263370400).

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

223252100 is a wasteful number, since it uses less digits than its factorization.

223252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9992 (or 9985 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 223252100 is about 14941.6230711392. The cubic root of 223252100 is about 606.6411285524.

The spelling of 223252100 in words is "two hundred twenty-three million, two hundred fifty-two thousand, one hundred".