223322400 has 432 divisors, whose sum is σ = 944002080. Its totient is φ = 50803200.

The previous prime is 223322399. The next prime is 223322401. The reversal of 223322400 is 4223322.

It is an interprime number because it is at equal distance from previous prime (223322399) and next prime (223322401).

It is a tau number, because it is divible by the number of its divisors (432).

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 (223322401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1058295 + ... + 1058505.

It is an arithmetic number, because the mean of its divisors is an integer number (2185190).

Almost surely, 2^223322400 is an apocalyptic number.

223322400 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 223322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472001040).

223322400 is an abundant number, since it is smaller than the sum of its proper divisors (720679680).

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

223322400 is a wasteful number, since it uses less digits than its factorization.

223322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 228 counting only the distinct ones).

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

The square root of 223322400 is about 14943.9753747120. The cubic root of 223322400 is about 606.7047970774.

Adding to 223322400 its reverse (4223322), we get a palindrome (227545722).

The spelling of 223322400 in words is "two hundred twenty-three million, three hundred twenty-two thousand, four hundred".