223034400 has 108 divisors (see below), whose sum is σ = 786500442. Its totient is φ = 59473920.

The previous prime is 223034353. The next prime is 223034401. The reversal of 223034400 is 4430322.

223034400 is a `hidden beast` number, since 2 + 230 + 34 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 218211984 + 4822416 = 14772^2 + 2196^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (223034401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8289 + ... + 22688.

Almost surely, 2^223034400 is an apocalyptic number.

223034400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223034400 is an abundant number, since it is smaller than the sum of its proper divisors (563466042).

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

223034400 is a wasteful number, since it uses less digits than its factorization.

223034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31003 (or 30987 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 223034400 is about 14934.3362758443. The cubic root of 223034400 is about 606.4438796066.

Adding to 223034400 its reverse (4430322), we get a palindrome (227464722).

The spelling of 223034400 in words is "two hundred twenty-three million, thirty-four thousand, four hundred".