223200400 has 60 divisors (see below), whose sum is σ = 540285732. Its totient is φ = 88606720.

The previous prime is 223200389. The next prime is 223200407. The reversal of 223200400 is 4002322.

It can be written as a sum of positive squares in 6 ways, for example, as 22581504 + 200618896 = 4752^2 + 14164^2 .

It is a super-3 number, since 3×223200400³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223200407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52764 + ... + 56836.

Almost surely, 2^223200400 is an apocalyptic number.

223200400 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 223200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270142866).

223200400 is an abundant number, since it is smaller than the sum of its proper divisors (317085332).

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

223200400 is a wasteful number, since it uses less digits than its factorization.

223200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4228 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 223200400 is about 14939.8929045693. The cubic root of 223200400 is about 606.5942969396.

Adding to 223200400 its reverse (4002322), we get a palindrome (227202722).

The spelling of 223200400 in words is "two hundred twenty-three million, two hundred thousand, four hundred".