22686144 has 112 divisors (see below), whose sum is σ = 66141600. Its totient is φ = 6819840.

The previous prime is 22686127. The next prime is 22686151. The reversal of 22686144 is 44168622.

It is a super-2 number, since 2×22686144² = 1029322259177472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152182 + ... + 152330.

It is an arithmetic number, because the mean of its divisors is an integer number (590550).

Almost surely, 2^22686144 is an apocalyptic number.

22686144 is a gapful number since it is divisible by the number (24) 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 22686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33070800).

22686144 is an abundant number, since it is smaller than the sum of its proper divisors (43455456).

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

22686144 is a wasteful number, since it uses less digits than its factorization.

22686144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 228 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 22686144 is about 4762.9973756029. The cubic root of 22686144 is about 283.0871969273.

The spelling of 22686144 in words is "twenty-two million, six hundred eighty-six thousand, one hundred forty-four".