22506048 has 84 divisors (see below), whose sum is σ = 66152268. Its totient is φ = 7311360.

The previous prime is 22506047. The next prime is 22506109. The reversal of 22506048 is 84060522.

22506048 is a `hidden beast` number, since 2 + 2 + 50 + 604 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 18045504 = 2112^2 + 4248^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (22506047) 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 11 ways as a sum of consecutive naturals, for example, 23140 + ... + 24092.

It is an arithmetic number, because the mean of its divisors is an integer number (787527).

Almost surely, 2^22506048 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 22506048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33076134).

22506048 is an abundant number, since it is smaller than the sum of its proper divisors (43646220).

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

22506048 is a wasteful number, since it uses less digits than its factorization.

22506048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 22506048 is about 4744.0539625936. The cubic root of 22506048 is about 282.3361014467.

The spelling of 22506048 in words is "twenty-two million, five hundred six thousand, forty-eight".