22221298400 has 144 divisors (see below), whose sum is σ = 65644610976. Its totient is φ = 7170539520.

The previous prime is 22221298391. The next prime is 22221298433. The reversal of 22221298400 is 489212222.

It is a super-2 number, since 2×22221298400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21509 + ... + 211908.

It is an arithmetic number, because the mean of its divisors is an integer number (455865354).

Almost surely, 2^22221298400 is an apocalyptic number.

22221298400 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 22221298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32822305488).

22221298400 is an abundant number, since it is smaller than the sum of its proper divisors (43423312576).

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

22221298400 is a wasteful number, since it uses less digits than its factorization.

22221298400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233461 (or 233448 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 22221298400 in words is "twenty-two billion, two hundred twenty-one million, two hundred ninety-eight thousand, four hundred".