221103223200 has 216 divisors, whose sum is σ = 780192900396. Its totient is φ = 58920960000.

The previous prime is 221103223157. The next prime is 221103223217. The reversal of 221103223200 is 2322301122.

221103223200 is a `hidden beast` number, since 2 + 21 + 1 + 0 + 322 + 320 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 183948347664 + 37154875536 = 428892^2 + 192756^2 .

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

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, 11517610 + ... + 11536790.

Almost surely, 2^221103223200 is an apocalyptic number.

221103223200 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 221103223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390096450198).

221103223200 is an abundant number, since it is smaller than the sum of its proper divisors (559089677196).

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

221103223200 is a wasteful number, since it uses less digits than its factorization.

221103223200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20808 (or 20792 counting only the distinct ones).

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

Adding to 221103223200 its reverse (2322301122), we get a palindrome (223425524322).

The spelling of 221103223200 in words is "two hundred twenty-one billion, one hundred three million, two hundred twenty-three thousand, two hundred".