221233200 has 120 divisors (see below), whose sum is σ = 715722048. Its totient is φ = 58410240.

The previous prime is 221233163. The next prime is 221233241. The reversal of 221233200 is 2332122.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 221233200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127539 + ... + 129261.

Almost surely, 2^221233200 is an apocalyptic number.

221233200 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 221233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357861024).

221233200 is an abundant number, since it is smaller than the sum of its proper divisors (494488848).

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

221233200 is a wasteful number, since it uses less digits than its factorization.

221233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 221233200 is about 14873.9100441007. The cubic root of 221233200 is about 604.8069415653.

Adding to 221233200 its reverse (2332122), we get a palindrome (223565322).

The spelling of 221233200 in words is "two hundred twenty-one million, two hundred thirty-three thousand, two hundred".