22329289800 has 144 divisors (see below), whose sum is σ = 75227679540. Its totient is φ = 5935541760.

The previous prime is 22329289799. The next prime is 22329289813. The reversal of 22329289800 is 898292322.

It can be written as a sum of positive squares in 6 ways, for example, as 8650116036 + 13679173764 = 93006^2 + 116958^2 .

It is a super-3 number, since 3×22329289800³ (a number of 32 digits) contains 333 as substring.

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 35 ways as a sum of consecutive naturals, for example, 551034 + ... + 590166.

Almost surely, 2^22329289800 is an apocalyptic number.

22329289800 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 22329289800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37613839770).

22329289800 is an abundant number, since it is smaller than the sum of its proper divisors (52898389740).

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

22329289800 is a wasteful number, since it uses less digits than its factorization.

22329289800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39472 (or 39460 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 22329289800 in words is "twenty-two billion, three hundred twenty-nine million, two hundred eighty-nine thousand, eight hundred".