212194600 has 48 divisors (see below), whose sum is σ = 501469020. Its totient is φ = 83481600.

The previous prime is 212194547. The next prime is 212194607. The reversal of 212194600 is 6491212.

It can be written as a sum of positive squares in 6 ways, for example, as 7761796 + 204432804 = 2786^2 + 14298^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (212194607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3504 + ... + 20896.

Almost surely, 2^212194600 is an apocalyptic number.

212194600 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 212194600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250734510).

212194600 is an abundant number, since it is smaller than the sum of its proper divisors (289274420).

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

212194600 is a wasteful number, since it uses less digits than its factorization.

212194600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17470 (or 17461 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 212194600 is about 14566.9008371719. The cubic root of 212194600 is about 596.4555845767.

It can be divided in two parts, 2121 and 94600, that added together give a square (96721 = 311²).

The spelling of 212194600 in words is "two hundred twelve million, one hundred ninety-four thousand, six hundred".