22429680 has 240 divisors, whose sum is σ = 87137280. Its totient is φ = 4672512.

The previous prime is 22429663. The next prime is 22429697. The reversal of 22429680 is 8692422.

It is an interprime number because it is at equal distance from previous prime (22429663) and next prime (22429697).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283881 + ... + 283959.

It is an arithmetic number, because the mean of its divisors is an integer number (363072).

Almost surely, 2^22429680 is an apocalyptic number.

22429680 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 22429680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43568640).

22429680 is an abundant number, since it is smaller than the sum of its proper divisors (64707600).

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

22429680 is a wasteful number, since it uses less digits than its factorization.

22429680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 22429680 is about 4735.9983108105. The cubic root of 22429680 is about 282.0163966121.

The spelling of 22429680 in words is "twenty-two million, four hundred twenty-nine thousand, six hundred eighty".