22688100 has 90 divisors (see below), whose sum is σ = 73572114. Its totient is φ = 6048000.

The previous prime is 22688093. The next prime is 22688101. The reversal of 22688100 is 188622.

It can be written as a sum of positive squares in 3 ways, for example, as 1454436 + 21233664 = 1206^2 + 4608^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×22688100² = 1029499763220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22688101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6700 + ... + 9500.

Almost surely, 2^22688100 is an apocalyptic number.

22688100 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 22688100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36786057).

22688100 is an abundant number, since it is smaller than the sum of its proper divisors (50884014).

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

22688100 is a wasteful number, since it uses less digits than its factorization.

22688100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 22688100 is about 4763.2027040637. The cubic root of 22688100 is about 283.0953326223.

The spelling of 22688100 in words is "twenty-two million, six hundred eighty-eight thousand, one hundred".