22129000 has 32 divisors (see below), whose sum is σ = 51784200. Its totient is φ = 8851200.

The previous prime is 22128989. The next prime is 22129007. The reversal of 22129000 is 92122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12802084 + 9326916 = 3578^2 + 3054^2 .

It is not an unprimeable number, because it can be changed into a prime (22129007) 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 7 ways as a sum of consecutive naturals, for example, 10065 + ... + 12064.

Almost surely, 2^22129000 is an apocalyptic number.

22129000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22129000 is an abundant number, since it is smaller than the sum of its proper divisors (29655200).

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

22129000 is a wasteful number, since it uses less digits than its factorization.

22129000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22150 (or 22136 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 22129000 is about 4704.1471065433. The cubic root of 22129000 is about 280.7505374143.

The spelling of 22129000 in words is "twenty-two million, one hundred twenty-nine thousand".