22656546 has 96 divisors (see below), whose sum is σ = 58226688. Its totient is φ = 6289920.

The previous prime is 22656523. The next prime is 22656551. The reversal of 22656546 is 64565622.

22656546 is a nontrivial binomial coefficient, being equal to C(6732, 2).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (86400) is a multiple of the sum of its prime factors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 22656546.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178335 + ... + 178461.

It is an arithmetic number, because the mean of its divisors is an integer number (606528).

Almost surely, 2^22656546 is an apocalyptic number.

22656546 is the 6731-st triangular number and also the 3366-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22656546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29113344).

22656546 is an abundant number, since it is smaller than the sum of its proper divisors (35570142).

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

22656546 is a wasteful number, since it uses less digits than its factorization.

22656546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 213 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 22656546 is about 4759.8892844267. The cubic root of 22656546 is about 282.9640312721.

The spelling of 22656546 in words is "twenty-two million, six hundred fifty-six thousand, five hundred forty-six".