22284300 has 72 divisors (see below), whose sum is σ = 65620800. Its totient is φ = 5837120.

The previous prime is 22284299. The next prime is 22284377. The reversal of 22284300 is 348222.

It is a super-3 number, since 3×22284300³ (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17071 + ... + 18329.

It is an arithmetic number, because the mean of its divisors is an integer number (911400).

Almost surely, 2^22284300 is an apocalyptic number.

22284300 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 22284300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32810400).

22284300 is an abundant number, since it is smaller than the sum of its proper divisors (43336500).

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

22284300 is a wasteful number, since it uses less digits than its factorization.

22284300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 22284300 is about 4720.6249586257. The cubic root of 22284300 is about 281.4057705006.

The spelling of 22284300 in words is "twenty-two million, two hundred eighty-four thousand, three hundred".