212273952 has 96 divisors (see below), whose sum is σ = 611815680. Its totient is φ = 63909120.

The previous prime is 212273899. The next prime is 212273953. The reversal of 212273952 is 259372212.

212273952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (212273953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188463 + ... + 189585.

It is an arithmetic number, because the mean of its divisors is an integer number (6373080).

Almost surely, 2^212273952 is an apocalyptic number.

212273952 is a gapful number since it is divisible by the number (22) 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 212273952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305907840).

212273952 is an abundant number, since it is smaller than the sum of its proper divisors (399541728).

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

212273952 is a wasteful number, since it uses less digits than its factorization.

212273952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1318 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 212273952 is about 14569.6242916556. The cubic root of 212273952 is about 596.5299252133.

The spelling of 212273952 in words is "two hundred twelve million, two hundred seventy-three thousand, nine hundred fifty-two".