22283300 has 72 divisors (see below), whose sum is σ = 53116392. Its totient is φ = 8064000.

The previous prime is 22283273. The next prime is 22283309. The reversal of 22283300 is 338222.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 14577124 + 7706176 = 3818^2 + 2776^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22283309) by changing a digit.

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, 79160 + ... + 79440.

Almost surely, 2^22283300 is an apocalyptic number.

22283300 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 22283300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26558196).

22283300 is an abundant number, since it is smaller than the sum of its proper divisors (30833092).

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

22283300 is a wasteful number, since it uses less digits than its factorization.

22283300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 22283300 is about 4720.5190392583. The cubic root of 22283300 is about 281.4015611098.

The spelling of 22283300 in words is "twenty-two million, two hundred eighty-three thousand, three hundred".