22102000 has 80 divisors (see below), whose sum is σ = 54898272. Its totient is φ = 8601600.

The previous prime is 22101979. The next prime is 22102013. The reversal of 22102000 is 20122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85872 + ... + 86128.

Almost surely, 2^22102000 is an apocalyptic number.

22102000 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 22102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27449136).

22102000 is an abundant number, since it is smaller than the sum of its proper divisors (32796272).

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

22102000 is a wasteful number, since it uses less digits than its factorization.

22102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 22102000 is about 4701.2764224198. The cubic root of 22102000 is about 280.6363079786.

Adding to 22102000 its reverse (20122), we get a palindrome (22122122).

The spelling of 22102000 in words is "twenty-two million, one hundred two thousand".