223072400 has 60 divisors (see below), whose sum is σ = 559255872. Its totient is φ = 85345920.

The previous prime is 223072393. The next prime is 223072403. The reversal of 223072400 is 4270322.

It is a happy number.

It is a super-3 number, since 3×223072400³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (223072403) 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, 2924 + ... + 21323.

Almost surely, 2^223072400 is an apocalyptic number.

223072400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223072400 is an abundant number, since it is smaller than the sum of its proper divisors (336183472).

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

223072400 is a wasteful number, since it uses less digits than its factorization.

223072400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24288 (or 24277 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 223072400 is about 14935.6084576424. The cubic root of 223072400 is about 606.4783190754.

The spelling of 223072400 in words is "two hundred twenty-three million, seventy-two thousand, four hundred".