216252652 has 144 divisors (see below), whose sum is σ = 514805760. Its totient is φ = 77616000.

The previous prime is 216252637. The next prime is 216252653. The reversal of 216252652 is 256252612.

It is a happy number.

216252652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (216252653) 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, 3045777 + ... + 3045847.

It is an arithmetic number, because the mean of its divisors is an integer number (3575040).

Almost surely, 2^216252652 is an apocalyptic number.

216252652 is a gapful number since it is divisible by the number (22) 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 216252652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257402880).

216252652 is an abundant number, since it is smaller than the sum of its proper divisors (298553108).

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

216252652 is a wasteful number, since it uses less digits than its factorization.

216252652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its digits is 14400, while the sum is 31.

The square root of 216252652 is about 14705.5313402815. The cubic root of 216252652 is about 600.2338458854.

The spelling of 216252652 in words is "two hundred sixteen million, two hundred fifty-two thousand, six hundred fifty-two".