212515264 has 56 divisors (see below), whose sum is σ = 460502000. Its totient is φ = 96712704.

The previous prime is 212515207. The next prime is 212515271. The reversal of 212515264 is 462515212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58987 + ... + 62485.

It is an arithmetic number, because the mean of its divisors is an integer number (8223250).

Almost surely, 2^212515264 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 212515264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230251000).

212515264 is an abundant number, since it is smaller than the sum of its proper divisors (247986736).

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

212515264 is a wasteful number, since it uses less digits than its factorization.

212515264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3597 (or 3587 counting only the distinct ones).

The product of its digits is 4800, while the sum is 28.

The square root of 212515264 is about 14577.9032785926. The cubic root of 212515264 is about 596.7558837215.

The spelling of 212515264 in words is "two hundred twelve million, five hundred fifteen thousand, two hundred sixty-four".