221422387200 has 768 divisors, whose sum is σ = 854500903680. Its totient is φ = 49545216000.

The previous prime is 221422387177. The next prime is 221422387201. The reversal of 221422387200 is 2783224122.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221422387201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1049395095 + ... + 1049395305.

It is an arithmetic number, because the mean of its divisors is an integer number (1112631385).

Almost surely, 2^221422387200 is an apocalyptic number.

221422387200 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 221422387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427250451840).

221422387200 is an abundant number, since it is smaller than the sum of its proper divisors (633078516480).

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

221422387200 is an equidigital number, since it uses as much as digits as its factorization.

221422387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The spelling of 221422387200 in words is "two hundred twenty-one billion, four hundred twenty-two million, three hundred eighty-seven thousand, two hundred".