223153200 has 90 divisors (see below), whose sum is σ = 774416084. Its totient is φ = 59506560.

The previous prime is 223153127. The next prime is 223153207. The reversal of 223153200 is 2351322.

223153200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-3 number, since 3×223153200³ (a number of 26 digits) contains 333 as substring.

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 (223153207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27394 + ... + 34593.

Almost surely, 2^223153200 is an apocalyptic number.

223153200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223153200 is an abundant number, since it is smaller than the sum of its proper divisors (551262884).

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

223153200 is a wasteful number, since it uses less digits than its factorization.

223153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62011 (or 61997 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 223153200 is about 14938.3131577832. The cubic root of 223153200 is about 606.5515352641.

The spelling of 223153200 in words is "two hundred twenty-three million, one hundred fifty-three thousand, two hundred".