222013213200 has 480 divisors, whose sum is σ = 826521504000. Its totient is φ = 56494817280.

The previous prime is 222013213187. The next prime is 222013213207. The reversal of 222013213200 is 2312310222.

222013213200 is a `hidden beast` number, since 2 + 2 + 20 + 1 + 321 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (222013213207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143326026 + ... + 143327574.

It is an arithmetic number, because the mean of its divisors is an integer number (1721919800).

Almost surely, 2^222013213200 is an apocalyptic number.

222013213200 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 222013213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413260752000).

222013213200 is an abundant number, since it is smaller than the sum of its proper divisors (604508290800).

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

222013213200 is a wasteful number, since it uses less digits than its factorization.

222013213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2159 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 222013213200 its reverse (2312310222), we get a palindrome (224325523422).

The spelling of 222013213200 in words is "two hundred twenty-two billion, thirteen million, two hundred thirteen thousand, two hundred".