218365952 has 114 divisors (see below), whose sum is σ = 537918462. Its totient is φ = 88080384.

The previous prime is 218365919. The next prime is 218365957. The reversal of 218365952 is 259563812.

It can be written as a sum of positive squares in only one way, i.e., 205520896 + 12845056 = 14336^2 + 3584^2 .

It is not an unprimeable number, because it can be changed into a prime (218365957) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12845048 + ... + 12845064.

It is an arithmetic number, because the mean of its divisors is an integer number (4718583).

Almost surely, 2^218365952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218365952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268959231).

218365952 is an abundant number, since it is smaller than the sum of its proper divisors (319552510).

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

218365952 is an frugal number, since it uses more digits than its factorization.

218365952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 26 counting only the distinct ones).

The product of its digits is 129600, while the sum is 41.

The square root of 218365952 is about 14777.2105622137. The cubic root of 218365952 is about 602.1827460334.

The spelling of 218365952 in words is "two hundred eighteen million, three hundred sixty-five thousand, nine hundred fifty-two".