223243200 has 252 divisors, whose sum is σ = 816848760. Its totient is φ = 57784320.

The previous prime is 223243187. The next prime is 223243211. The reversal of 223243200 is 2342322.

223243200 is a `hidden beast` number, since 2 + 232 + 432 + 0 + 0 = 666.

223243200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×223243200³ (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 532591 + ... + 533009.

Almost surely, 2^223243200 is an apocalyptic number.

223243200 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 223243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408424380).

223243200 is an abundant number, since it is smaller than the sum of its proper divisors (593605560).

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

223243200 is a wasteful number, since it uses less digits than its factorization.

223243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 223243200 is about 14941.3252424275. The cubic root of 223243200 is about 606.6330671459.

Adding to 223243200 its reverse (2342322), we get a palindrome (225585522).

The spelling of 223243200 in words is "two hundred twenty-three million, two hundred forty-three thousand, two hundred".