223200000 has 324 divisors, whose sum is σ = 830321856. Its totient is φ = 57600000.

The previous prime is 223199939. The next prime is 223200067. The reversal of 223200000 is 2322.

223200000 = 388² + 389² + ... + 899².

It is a super-3 number, since 3×223200000³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 7199985 + ... + 7200015.

Almost surely, 2^223200000 is an apocalyptic number.

223200000 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 223200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415160928).

223200000 is an abundant number, since it is smaller than the sum of its proper divisors (607121856).

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

223200000 is an frugal number, since it uses more digits than its factorization.

223200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 223200000 is about 14939.8795175865. The cubic root of 223200000 is about 606.5939345779.

Adding to 223200000 its reverse (2322), we get a palindrome (223202322).

The spelling of 223200000 in words is "two hundred twenty-three million, two hundred thousand".