212769090 has 144 divisors (see below), whose sum is σ = 597837240. Its totient is φ = 52462080.

The previous prime is 212769079. The next prime is 212769121. The reversal of 212769090 is 90967212.

212769090 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 135978921 + 76790169 = 11661^2 + 8763^2 .

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1951956 + ... + 1952064.

Almost surely, 2^212769090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212769090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298918620).

212769090 is an abundant number, since it is smaller than the sum of its proper divisors (385068150).

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

212769090 is a wasteful number, since it uses less digits than its factorization.

212769090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 212769090 is about 14586.6065279077. The cubic root of 212769090 is about 596.9933755147.

It can be divided in two parts, 2127 and 69090, that added together give a palindrome (71217).

The spelling of 212769090 in words is "two hundred twelve million, seven hundred sixty-nine thousand, ninety".