22829000 has 64 divisors (see below), whose sum is σ = 54952560. Its totient is φ = 8870400.

The previous prime is 22828999. The next prime is 22829021. The reversal of 22829000 is 92822.

It can be written as a sum of positive squares in 8 ways, for example, as 228484 + 22600516 = 478^2 + 4754^2 .

It is a super-4 number, since 4×22829000⁴ (a number of 31 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36692 + ... + 37308.

Almost surely, 2^22829000 is an apocalyptic number.

22829000 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 22829000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27476280).

22829000 is an abundant number, since it is smaller than the sum of its proper divisors (32123560).

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

22829000 is a wasteful number, since it uses less digits than its factorization.

22829000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 22829000 is about 4777.9702803596. The cubic root of 22829000 is about 283.6801596697.

The spelling of 22829000 in words is "twenty-two million, eight hundred twenty-nine thousand".