2252133200 has 30 divisors (see below), whose sum is σ = 5410750974. Its totient is φ = 900853120.

The previous prime is 2252133179. The next prime is 2252133217. The reversal of 2252133200 is 23312522.

It can be written as a sum of positive squares in 3 ways, for example, as 440896 + 2251692304 = 664^2 + 47452^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2814767 + ... + 2815566.

Almost surely, 2^2252133200 is an apocalyptic number.

2252133200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2252133200 is an abundant number, since it is smaller than the sum of its proper divisors (3158617774).

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

2252133200 is a wasteful number, since it uses less digits than its factorization.

2252133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5630351 (or 5630340 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 2252133200 is about 47456.6454777410. The cubic root of 2252133200 is about 1310.7846822665.

Adding to 2252133200 its reverse (23312522), we get a palindrome (2275445722).

The spelling of 2252133200 in words is "two billion, two hundred fifty-two million, one hundred thirty-three thousand, two hundred".