221298739200 has 2268 divisors, whose sum is σ = 1051870459185. Its totient is φ = 45984153600.

The previous prime is 221298739183. The next prime is 221298739229. The reversal of 221298739200 is 2937892122.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 216872764416 + 4425974784 = 465696^2 + 66528^2 .

It is a tau number, because it is divible by the number of its divisors (2268).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332640.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 20118067195 + ... + 20118067205.

Almost surely, 2^221298739200 is an apocalyptic number.

221298739200 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 221298739200

221298739200 is an abundant number, since it is smaller than the sum of its proper divisors (830571719985).

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

221298739200 is an equidigital number, since it uses as much as digits as its factorization.

221298739200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 221298739200 in words is "two hundred twenty-one billion, two hundred ninety-eight million, seven hundred thirty-nine thousand, two hundred".