22868900208 has 640 divisors, whose sum is σ = 89077155840. Its totient is φ = 5434490880.

The previous prime is 22868900189. The next prime is 22868900233. The reversal of 22868900208 is 80200986822.

It is a super-3 number, since 3×22868900208³ (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20922510 + ... + 20923602.

It is an arithmetic number, because the mean of its divisors is an integer number (139183056).

Almost surely, 2^22868900208 is an apocalyptic number.

22868900208 is a gapful number since it is divisible by the number (28) 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 22868900208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44538577920).

22868900208 is an abundant number, since it is smaller than the sum of its proper divisors (66208255632).

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

22868900208 is a wasteful number, since it uses less digits than its factorization.

22868900208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1182 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 22868900208 in words is "twenty-two billion, eight hundred sixty-eight million, nine hundred thousand, two hundred eight".