212825340 has 384 divisors, whose sum is σ = 839946240. Its totient is φ = 43545600.

The previous prime is 212825321. The next prime is 212825359. The reversal of 212825340 is 43528212.

212825340 is a `hidden beast` number, since 2 + 128 + 2 + 534 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (212825321) and next prime (212825359).

It is a super-2 number, since 2×212825340² = 90589250692231200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2997505 + ... + 2997575.

It is an arithmetic number, because the mean of its divisors is an integer number (2187360).

Almost surely, 2^212825340 is an apocalyptic number.

212825340 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 212825340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419973120).

212825340 is an abundant number, since it is smaller than the sum of its proper divisors (627120900).

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

212825340 is a wasteful number, since it uses less digits than its factorization.

212825340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 212825340 is about 14588.5345391509. The cubic root of 212825340 is about 597.0459801459.

The spelling of 212825340 in words is "two hundred twelve million, eight hundred twenty-five thousand, three hundred forty".