223428600 has 288 divisors, whose sum is σ = 812448000. Its totient is φ = 54846720.

The previous prime is 223428599. The next prime is 223428617. The reversal of 223428600 is 6824322.

223428600 is a `hidden beast` number, since 2 + 2 + 34 + 28 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1607331 + ... + 1607469.

It is an arithmetic number, because the mean of its divisors is an integer number (2821000).

Almost surely, 2^223428600 is an apocalyptic number.

223428600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223428600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406224000).

223428600 is an abundant number, since it is smaller than the sum of its proper divisors (589019400).

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

223428600 is a wasteful number, since it uses less digits than its factorization.

223428600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 223428600 is about 14947.5282237566. The cubic root of 223428600 is about 606.8009537828.

The spelling of 223428600 in words is "two hundred twenty-three million, four hundred twenty-eight thousand, six hundred".