22829856 has 96 divisors (see below), whose sum is σ = 69890688. Its totient is φ = 6389760.

The previous prime is 22829843. The next prime is 22829867. The reversal of 22829856 is 65892822.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35296 + ... + 35936.

It is an arithmetic number, because the mean of its divisors is an integer number (728028).

Almost surely, 2^22829856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22829856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34945344).

22829856 is an abundant number, since it is smaller than the sum of its proper divisors (47060832).

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

22829856 is a wasteful number, since it uses less digits than its factorization.

22829856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 706 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 22829856 is about 4778.0598573061. The cubic root of 22829856 is about 283.6837052650.

The spelling of 22829856 in words is "twenty-two million, eight hundred twenty-nine thousand, eight hundred fifty-six".