22147200 has 144 divisors (see below), whose sum is σ = 79129050. Its totient is φ = 5898240.

The previous prime is 22147159. The next prime is 22147207. The reversal of 22147200 is 274122.

It can be written as a sum of positive squares in 3 ways, for example, as 15303744 + 6843456 = 3912^2 + 2616^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (22147207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28416 + ... + 29184.

Almost surely, 2^22147200 is an apocalyptic number.

22147200 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 22147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39564525).

22147200 is an abundant number, since it is smaller than the sum of its proper divisors (56981850).

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

22147200 is a wasteful number, since it uses less digits than its factorization.

22147200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 22147200 is about 4706.0811722706. The cubic root of 22147200 is about 280.8274840997.

The spelling of 22147200 in words is "twenty-two million, one hundred forty-seven thousand, two hundred".