22830600 has 96 divisors (see below), whose sum is σ = 76245120. Its totient is φ = 5617920.

The previous prime is 22830593. The next prime is 22830607. The reversal of 22830600 is 603822.

It is an interprime number because it is at equal distance from previous prime (22830593) and next prime (22830607).

It is not an unprimeable number, because it can be changed into a prime (22830607) 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 23 ways as a sum of consecutive naturals, for example, 6337 + ... + 9263.

It is an arithmetic number, because the mean of its divisors is an integer number (794220).

Almost surely, 2^22830600 is an apocalyptic number.

22830600 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 22830600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38122560).

22830600 is an abundant number, since it is smaller than the sum of its proper divisors (53414520).

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

22830600 is a wasteful number, since it uses less digits than its factorization.

22830600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 22830600 is about 4778.1377125403. The cubic root of 22830600 is about 283.6867868786.

The spelling of 22830600 in words is "twenty-two million, eight hundred thirty thousand, six hundred".