223382400 has 96 divisors (see below), whose sum is σ = 735797400. Its totient is φ = 59566080.

The previous prime is 223382359. The next prime is 223382443. The reversal of 223382400 is 4283322.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2035 + ... + 21234.

Almost surely, 2^223382400 is an apocalyptic number.

223382400 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 223382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367898700).

223382400 is an abundant number, since it is smaller than the sum of its proper divisors (512415000).

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

223382400 is a wasteful number, since it uses less digits than its factorization.

223382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23296 (or 23279 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 223382400 is about 14945.9827378463. The cubic root of 223382400 is about 606.7591266449.

The spelling of 223382400 in words is "two hundred twenty-three million, three hundred eighty-two thousand, four hundred".