212681952 has 144 divisors (see below), whose sum is σ = 705650400. Its totient is φ = 60738048.

The previous prime is 212681941. The next prime is 212681971. The reversal of 212681952 is 259186212.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×212681952² = 90467225413060608, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97708 + ... + 99860.

It is an arithmetic number, because the mean of its divisors is an integer number (4900350).

Almost surely, 2^212681952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212681952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352825200).

212681952 is an abundant number, since it is smaller than the sum of its proper divisors (492968448).

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

212681952 is a wasteful number, since it uses less digits than its factorization.

212681952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2165 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 212681952 is about 14583.6193038628. The cubic root of 212681952 is about 596.9118663193.

It can be divided in two parts, 21268 and 1952, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 212681952 in words is "two hundred twelve million, six hundred eighty-one thousand, nine hundred fifty-two".