223914400 has 72 divisors (see below), whose sum is σ = 557050284. Its totient is φ = 87859200.

The previous prime is 223914377. The next prime is 223914401. The reversal of 223914400 is 4419322.

It can be written as a sum of positive squares in 6 ways, for example, as 61402896 + 162511504 = 7836^2 + 12748^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (223914401) 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, 39760 + ... + 45040.

Almost surely, 2^223914400 is an apocalyptic number.

223914400 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 223914400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278525142).

223914400 is an abundant number, since it is smaller than the sum of its proper divisors (333135884).

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

223914400 is a wasteful number, since it uses less digits than its factorization.

223914400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5354 (or 5341 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 223914400 is about 14963.7695785521. The cubic root of 223914400 is about 607.2404237997.

The spelling of 223914400 in words is "two hundred twenty-three million, nine hundred fourteen thousand, four hundred".