22429440 has 288 divisors, whose sum is σ = 88300800. Its totient is φ = 5345280.

The previous prime is 22429403. The next prime is 22429493. The reversal of 22429440 is 4492422.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 380131 + ... + 380189.

It is an arithmetic number, because the mean of its divisors is an integer number (306600).

Almost surely, 2^22429440 is an apocalyptic number.

22429440 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 22429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44150400).

22429440 is an abundant number, since it is smaller than the sum of its proper divisors (65871360).

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

22429440 is a wasteful number, since it uses less digits than its factorization.

22429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 22429440 is about 4735.9729728959. The cubic root of 22429440 is about 282.0153907399.

The spelling of 22429440 in words is "twenty-two million, four hundred twenty-nine thousand, four hundred forty".