22400040 has 128 divisors (see below), whose sum is σ = 73664640. Its totient is φ = 5415936.

The previous prime is 22400039. The next prime is 22400041. The reversal of 22400040 is 4000422.

It is an interprime number because it is at equal distance from previous prime (22400039) and next prime (22400041).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 22399989 and 22400025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22400041) 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 31 ways as a sum of consecutive naturals, for example, 129394 + ... + 129566.

It is an arithmetic number, because the mean of its divisors is an integer number (575505).

Almost surely, 2^22400040 is an apocalyptic number.

22400040 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 22400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36832320).

22400040 is an abundant number, since it is smaller than the sum of its proper divisors (51264600).

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

22400040 is a wasteful number, since it uses less digits than its factorization.

22400040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 22400040 is about 4732.8680522491. The cubic root of 22400040 is about 281.8921170753.

Adding to 22400040 its reverse (4000422), we get a palindrome (26400462).

It can be divided in two parts, 2 and 2400040, that added together give a palindrome (2400042).

The spelling of 22400040 in words is "twenty-two million, four hundred thousand, forty".