22682000 has 80 divisors (see below), whose sum is σ = 59889024. Its totient is φ = 8240000.

The previous prime is 22681969. The next prime is 22682003. The reversal of 22682000 is 28622.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22682003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21485 + ... + 22515.

Almost surely, 2^22682000 is an apocalyptic number.

22682000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22682000 is the 2750-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22682000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29944512).

22682000 is an abundant number, since it is smaller than the sum of its proper divisors (37207024).

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

22682000 is a wasteful number, since it uses less digits than its factorization.

22682000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 22682000 is about 4762.5623355501. The cubic root of 22682000 is about 283.0699590224.

The spelling of 22682000 in words is "twenty-two million, six hundred eighty-two thousand".