22200998400 has 1800 divisors, whose sum is σ = 104987789280. Its totient is φ = 4598415360.

The previous prime is 22200998399. The next prime is 22200998441. The reversal of 22200998400 is 489900222.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 965260789 + ... + 965260811.

Almost surely, 2^22200998400 is an apocalyptic number.

22200998400 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 22200998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52493894640).

22200998400 is an abundant number, since it is smaller than the sum of its proper divisors (82786790880).

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

22200998400 is a wasteful number, since it uses less digits than its factorization.

22200998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 22200998400 in words is "twenty-two billion, two hundred million, nine hundred ninety-eight thousand, four hundred".