21833280 has 336 divisors, whose sum is σ = 92903040. Its totient is φ = 4727808.

The previous prime is 21833267. The next prime is 21833291. The reversal of 21833280 is 8233812.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

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, 1149111 + ... + 1149129.

Almost surely, 2^21833280 is an apocalyptic number.

21833280 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 21833280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46451520).

21833280 is an abundant number, since it is smaller than the sum of its proper divisors (71069760).

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

21833280 is a wasteful number, since it uses less digits than its factorization.

21833280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 21833280 is about 4672.6095492776. The cubic root of 21833280 is about 279.4943254064.

The spelling of 21833280 in words is "twenty-one million, eight hundred thirty-three thousand, two hundred eighty".