220233013200 has 360 divisors, whose sum is σ = 819064267008. Its totient is φ = 54656363520.

The previous prime is 220233013181. The next prime is 220233013211. The reversal of 220233013200 is 2310332022.

It is a happy number.

220233013200 is a `hidden beast` number, since 2 + 20 + 23 + 301 + 320 + 0 = 666.

220233013200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3027657 + ... + 3099543.

Almost surely, 2^220233013200 is an apocalyptic number.

220233013200 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 220233013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409532133504).

220233013200 is an abundant number, since it is smaller than the sum of its proper divisors (598831253808).

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

220233013200 is a wasteful number, since it uses less digits than its factorization.

220233013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71971 (or 71957 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 220233013200 its reverse (2310332022), we get a palindrome (222543345222).

The spelling of 220233013200 in words is "two hundred twenty billion, two hundred thirty-three million, thirteen thousand, two hundred".