212205952 has 96 divisors (see below), whose sum is σ = 499428720. Its totient is φ = 87975936.

The previous prime is 212205941. The next prime is 212205953. The reversal of 212205952 is 259502212.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 212205952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212205953) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1226538 + ... + 1226710.

Almost surely, 2^212205952 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 212205952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249714360).

212205952 is an abundant number, since it is smaller than the sum of its proper divisors (287222768).

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

212205952 is an equidigital number, since it uses as much as digits as its factorization.

212205952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 212205952 is about 14567.2904824473. The cubic root of 212205952 is about 596.4662207931.

It can be divided in two parts, 21220 and 5952, that added together give a palindrome (27172).

The spelling of 212205952 in words is "two hundred twelve million, two hundred five thousand, nine hundred fifty-two".