212309000 has 64 divisors (see below), whose sum is σ = 514004400. Its totient is φ = 81984000.

The previous prime is 212308991. The next prime is 212309047. The reversal of 212309000 is 903212.

It can be written as a sum of positive squares in 8 ways, for example, as 7761796 + 204547204 = 2786^2 + 14302^2 .

It is a super-2 number, since 2×212309000² = 90150222962000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212309000.

It is an unprimeable number.

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, 25340 + ... + 32660.

Almost surely, 2^212309000 is an apocalyptic number.

212309000 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 212309000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257002200).

212309000 is an abundant number, since it is smaller than the sum of its proper divisors (301695400).

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

212309000 is a wasteful number, since it uses less digits than its factorization.

212309000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7371 (or 7357 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 212309000 is about 14570.8270183954. The cubic root of 212309000 is about 596.5627539080.

The spelling of 212309000 in words is "two hundred twelve million, three hundred nine thousand".