22098100 has 36 divisors (see below), whose sum is σ = 48332844. Its totient is φ = 8769280.

The previous prime is 22098091. The next prime is 22098103. The reversal of 22098100 is 189022.

It can be written as a sum of positive squares in 6 ways, for example, as 26896 + 22071204 = 164^2 + 4698^2 .

It is a super-2 number, since 2×22098100² = 976652047220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22098103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12894 + ... + 14506.

It is an arithmetic number, because the mean of its divisors is an integer number (1342579).

Almost surely, 2^22098100 is an apocalyptic number.

22098100 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 22098100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24166422).

22098100 is an abundant number, since it is smaller than the sum of its proper divisors (26234744).

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

22098100 is a wasteful number, since it uses less digits than its factorization.

22098100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 22098100 is about 4700.8616231495. The cubic root of 22098100 is about 280.6198004834.

It can be divided in two parts, 2209 and 8100, that multiplied together give a square (17892900 = 4230²).

The spelling of 22098100 in words is "twenty-two million, ninety-eight thousand, one hundred".