22967280 has 320 divisors, whose sum is σ = 95232000. Its totient is φ = 5080320.

The previous prime is 22967267. The next prime is 22967291. The reversal of 22967280 is 8276922.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 740865 + ... + 740895.

It is an arithmetic number, because the mean of its divisors is an integer number (297600).

Almost surely, 2^22967280 is an apocalyptic number.

22967280 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 22967280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47616000).

22967280 is an abundant number, since it is smaller than the sum of its proper divisors (72264720).

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

22967280 is a wasteful number, since it uses less digits than its factorization.

22967280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 22967280 is about 4792.4190134002. The cubic root of 22967280 is about 284.2517769885.

The spelling of 22967280 in words is "twenty-two million, nine hundred sixty-seven thousand, two hundred eighty".