223057800 has 360 divisors, whose sum is σ = 904403610. Its totient is φ = 50803200.

The previous prime is 223057787. The next prime is 223057801. The reversal of 223057800 is 8750322.

223057800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 181764324 + 41293476 = 13482^2 + 6426^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (223057801) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 793660 + ... + 793940.

Almost surely, 2^223057800 is an apocalyptic number.

223057800 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 223057800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452201805).

223057800 is an abundant number, since it is smaller than the sum of its proper divisors (681345810).

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

223057800 is a wasteful number, since it uses less digits than its factorization.

223057800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 223057800 is about 14935.1196848234. The cubic root of 223057800 is about 606.4650875317.

The spelling of 223057800 in words is "two hundred twenty-three million, fifty-seven thousand, eight hundred".