212252640 has 48 divisors (see below), whose sum is σ = 668597328. Its totient is φ = 56600576.

The previous prime is 212252617. The next prime is 212252657. The reversal of 212252640 is 46252212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 212252640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220617 + ... + 221576.

It is an arithmetic number, because the mean of its divisors is an integer number (13929111).

Almost surely, 2^212252640 is an apocalyptic number.

212252640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212252640 is an abundant number, since it is smaller than the sum of its proper divisors (456344688).

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

212252640 is a wasteful number, since it uses less digits than its factorization.

212252640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442211 (or 442203 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 212252640 is about 14568.8928886172. The cubic root of 212252640 is about 596.5099609625.

The spelling of 212252640 in words is "two hundred twelve million, two hundred fifty-two thousand, six hundred forty".