22861440 has 336 divisors, whose sum is σ = 95320530. Its totient is φ = 5225472.

The previous prime is 22861417. The next prime is 22861453. The reversal of 22861440 is 4416822.

22861440 is a `hidden beast` number, since 2 + 2 + 8 + 614 + 40 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20575296 + 2286144 = 4536^2 + 1512^2 .

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 41 ways as a sum of consecutive naturals, for example, 3265917 + ... + 3265923.

Almost surely, 2^22861440 is an apocalyptic number.

22861440 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 22861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47660265).

22861440 is an abundant number, since it is smaller than the sum of its proper divisors (72459090).

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

22861440 is an frugal number, since it uses more digits than its factorization.

22861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 22861440 is about 4781.3638221746. The cubic root of 22861440 is about 283.8144658718.

The spelling of 22861440 in words is "twenty-two million, eight hundred sixty-one thousand, four hundred forty".