212933160 has 192 divisors, whose sum is σ = 799606080. Its totient is φ = 48568320.

The previous prime is 212933159. The next prime is 212933173. The reversal of 212933160 is 61339212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65739 + ... + 68901.

It is an arithmetic number, because the mean of its divisors is an integer number (4164615).

Almost surely, 2^212933160 is an apocalyptic number.

212933160 is a gapful number since it is divisible by the number (20) 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 212933160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399803040).

212933160 is an abundant number, since it is smaller than the sum of its proper divisors (586672920).

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

212933160 is a wasteful number, since it uses less digits than its factorization.

212933160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3208 (or 3201 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 212933160 is about 14592.2294389857. The cubic root of 212933160 is about 597.1467867977.

The spelling of 212933160 in words is "two hundred twelve million, nine hundred thirty-three thousand, one hundred sixty".