223233400 has 96 divisors (see below), whose sum is σ = 583400160. Its totient is φ = 78819840.

The previous prime is 223233379. The next prime is 223233401. The reversal of 223233400 is 4332322.

223233400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×223233400³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223233401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57934 + ... + 61666.

It is an arithmetic number, because the mean of its divisors is an integer number (6077085).

Almost surely, 2^223233400 is an apocalyptic number.

223233400 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 223233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291700080).

223233400 is an abundant number, since it is smaller than the sum of its proper divisors (360166760).

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

223233400 is a wasteful number, since it uses less digits than its factorization.

223233400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3785 (or 3776 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 223233400 is about 14940.9972893378. The cubic root of 223233400 is about 606.6241902931.

Adding to 223233400 its reverse (4332322), we get a palindrome (227565722).

The spelling of 223233400 in words is "two hundred twenty-three million, two hundred thirty-three thousand, four hundred".