22898100 has 72 divisors (see below), whose sum is σ = 66884608. Its totient is φ = 6048000.

The previous prime is 22898063. The next prime is 22898101. The reversal of 22898100 is 189822.

It is a super-3 number, since 3×22898100³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22898101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37800 + ... + 38400.

Almost surely, 2^22898100 is an apocalyptic number.

22898100 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 22898100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33442304).

22898100 is an abundant number, since it is smaller than the sum of its proper divisors (43986508).

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

22898100 is a wasteful number, since it uses less digits than its factorization.

22898100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 22898100 is about 4785.1959207539. The cubic root of 22898100 is about 283.9660906416.

The spelling of 22898100 in words is "twenty-two million, eight hundred ninety-eight thousand, one hundred".