212264010 has 256 divisors, whose sum is σ = 713318400. Its totient is φ = 43794432.

The previous prime is 212264009. The next prime is 212264027. The reversal of 212264010 is 10462212.

212264010 = T₅₆ + T₅₇ + ... + T₁₀₈₃.

212264010 is a `hidden beast` number, since 2 + 1 + 22 + 640 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 127 ways as a sum of consecutive naturals, for example, 825802 + ... + 826058.

It is an arithmetic number, because the mean of its divisors is an integer number (2786400).

Almost surely, 2^212264010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212264010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356659200).

212264010 is an abundant number, since it is smaller than the sum of its proper divisors (501054390).

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

212264010 is a wasteful number, since it uses less digits than its factorization.

212264010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 212264010 is about 14569.2830983546. The cubic root of 212264010 is about 596.5206121016.

The spelling of 212264010 in words is "two hundred twelve million, two hundred sixty-four thousand, ten".