2252182200 has 96 divisors (see below), whose sum is σ = 6988979760. Its totient is φ = 599961600.

The previous prime is 2252182199. The next prime is 2252182201. The reversal of 2252182200 is 22812522.

It is an interprime number because it is at equal distance from previous prime (2252182199) and next prime (2252182201).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2252182201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1115592 + ... + 1117608.

Almost surely, 2^2252182200 is an apocalyptic number.

2252182200 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 2252182200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3494489880).

2252182200 is an abundant number, since it is smaller than the sum of its proper divisors (4736797560).

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

2252182200 is a wasteful number, since it uses less digits than its factorization.

2252182200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2252182200 is about 47457.1617356116. The cubic root of 2252182200 is about 1310.7941885106.

Adding to 2252182200 its reverse (22812522), we get a palindrome (2274994722).

The spelling of 2252182200 in words is "two billion, two hundred fifty-two million, one hundred eighty-two thousand, two hundred".