2252153100 has 144 divisors (see below), whose sum is σ = 7019550720. Its totient is φ = 555878400.

The previous prime is 2252153089. The next prime is 2252153107. The reversal of 2252153100 is 13512522.

It is a super-2 number, since 2×2252153100² = 10144387171679220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2252153107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208636 + ... + 219164.

It is an arithmetic number, because the mean of its divisors is an integer number (48746880).

Almost surely, 2^2252153100 is an apocalyptic number.

2252153100 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 2252153100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509775360).

2252153100 is an abundant number, since it is smaller than the sum of its proper divisors (4767397620).

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

2252153100 is a wasteful number, since it uses less digits than its factorization.

2252153100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10600 (or 10593 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 2252153100 is about 47456.8551423290. The cubic root of 2252153100 is about 1310.7885429823.

Adding to 2252153100 its reverse (13512522), we get a palindrome (2265665622).

The spelling of 2252153100 in words is "two billion, two hundred fifty-two million, one hundred fifty-three thousand, one hundred".