252216230634 has 96 divisors (see below), whose sum is σ = 569565144720. Its totient is φ = 80588722176.

The previous prime is 252216230627. The next prime is 252216230639. The reversal of 252216230634 is 436032612252.

252216230634 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 16 + 2 + 3 + 0 + 634 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 83898860409 + 168317370225 = 289653^2 + 410265^2 .

It is a super-2 number, since 2×252216230634² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252216230639) 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, 53331582 + ... + 53336310.

Almost surely, 2^252216230634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252216230634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284782572360).

252216230634 is an abundant number, since it is smaller than the sum of its proper divisors (317348914086).

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

252216230634 is a wasteful number, since it uses less digits than its factorization.

252216230634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5944 (or 5941 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 252216230634 its reverse (436032612252), we get a palindrome (688248842886).

The spelling of 252216230634 in words is "two hundred fifty-two billion, two hundred sixteen million, two hundred thirty thousand, six hundred thirty-four".