252199116 has 96 divisors (see below), whose sum is σ = 707857920. Its totient is φ = 77191488.

The previous prime is 252199111. The next prime is 252199139. The reversal of 252199116 is 611991252.

It is a super-2 number, since 2×252199116² = 127208788222362912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

252199116 is a Rhonda number in base 10.

Its product of digits (9720) is a multiple of the sum of its prime factors (972).

It is not an unprimeable number, because it can be changed into a prime (252199111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368911 + ... + 369593.

It is an arithmetic number, because the mean of its divisors is an integer number (7373520).

Almost surely, 2^252199116 is an apocalyptic number.

252199116 is a gapful number since it is divisible by the number (26) 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 252199116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353928960).

252199116 is an abundant number, since it is smaller than the sum of its proper divisors (455658804).

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

252199116 is a wasteful number, since it uses less digits than its factorization.

252199116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 964 counting only the distinct ones).

The product of its digits is 9720, while the sum is 36.

The square root of 252199116 is about 15880.7781925194. The cubic root of 252199116 is about 631.8022768492.

The spelling of 252199116 in words is "two hundred fifty-two million, one hundred ninety-nine thousand, one hundred sixteen".