212922864 has 320 divisors, whose sum is σ = 787092480. Its totient is φ = 53498880.

The previous prime is 212922839. The next prime is 212922869. The reversal of 212922864 is 468229212.

212922864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212922864² = 90672292027924992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212922869) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1230682 + ... + 1230854.

It is an arithmetic number, because the mean of its divisors is an integer number (2459664).

Almost surely, 2^212922864 is an apocalyptic number.

212922864 is a gapful number since it is divisible by the number (24) 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 212922864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393546240).

212922864 is an abundant number, since it is smaller than the sum of its proper divisors (574169616).

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

212922864 is a wasteful number, since it uses less digits than its factorization.

212922864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 212922864 is about 14591.8766442154. The cubic root of 212922864 is about 597.1371619895.

The spelling of 212922864 in words is "two hundred twelve million, nine hundred twenty-two thousand, eight hundred sixty-four".