212331840 has 224 divisors, whose sum is σ = 811499520. Its totient is φ = 45950976.

The previous prime is 212331811. The next prime is 212331869. The reversal of 212331840 is 48133212.

212331840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212331811) and next prime (212331869).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212331840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126849 + ... + 128511.

Almost surely, 2^212331840 is an apocalyptic number.

212331840 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 212331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405749760).

212331840 is an abundant number, since it is smaller than the sum of its proper divisors (599167680).

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

212331840 is a wasteful number, since it uses less digits than its factorization.

212331840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 212331840 is about 14571.6107551636. The cubic root of 212331840 is about 596.5841456919.

The spelling of 212331840 in words is "two hundred twelve million, three hundred thirty-one thousand, eight hundred forty".