220229539200 has 576 divisors, whose sum is σ = 889053721920. Its totient is φ = 53386905600.

The previous prime is 220229539199. The next prime is 220229539217. The reversal of 220229539200 is 2935922022.

220229539200 is a `hidden beast` number, since 220 + 229 + 5 + 3 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8540727 + ... + 8566473.

It is an arithmetic number, because the mean of its divisors is an integer number (1543496045).

Almost surely, 2^220229539200 is an apocalyptic number.

220229539200 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 220229539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444526860960).

220229539200 is an abundant number, since it is smaller than the sum of its proper divisors (668824182720).

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

220229539200 is a wasteful number, since it uses less digits than its factorization.

220229539200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25797 (or 25768 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 220229539200 in words is "two hundred twenty billion, two hundred twenty-nine million, five hundred thirty-nine thousand, two hundred".