22730198400 has 1536 divisors, whose sum is σ = 106243200000. Its totient is φ = 4714536960.

The previous prime is 22730198399. The next prime is 22730198401. The reversal of 22730198400 is 489103722.

22730198400 is a `hidden beast` number, since 227 + 301 + 98 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22730198399) and next prime (22730198401).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22730198401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 385257571 + ... + 385257629.

It is an arithmetic number, because the mean of its divisors is an integer number (69168750).

Almost surely, 2^22730198400 is an apocalyptic number.

22730198400 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 22730198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53121600000).

22730198400 is an abundant number, since it is smaller than the sum of its proper divisors (83513001600).

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

22730198400 is a wasteful number, since it uses less digits than its factorization.

22730198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 22730198400 in words is "twenty-two billion, seven hundred thirty million, one hundred ninety-eight thousand, four hundred".