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212232966 = 23113215651
BaseRepresentation
bin11001010011001…
…10101100000110
3112210100112220020
430221212230012
5413312423331
633020520010
75154644001
oct1451465406
9483315806
10212232966
11a9888850
125b0b0006
1334c7b34a
1420288538
1513973c96
hexca66b06

212232966 has 16 divisors (see below), whose sum is σ = 463053888. Its totient is φ = 64313000.

The previous prime is 212232959. The next prime is 212232967. The reversal of 212232966 is 669232212.

212232966 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212232967) 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 7 ways as a sum of consecutive naturals, for example, 1607760 + ... + 1607891.

It is an arithmetic number, because the mean of its divisors is an integer number (28940868).

Almost surely, 2212232966 is an apocalyptic number.

212232966 is an abundant number, since it is smaller than the sum of its proper divisors (250820922).

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

212232966 is a wasteful number, since it uses less digits than its factorization.

212232966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3215667.

The product of its digits is 15552, while the sum is 33.

The square root of 212232966 is about 14568.2176672371. The cubic root of 212232966 is about 596.4915299399.

The spelling of 212232966 in words is "two hundred twelve million, two hundred thirty-two thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 66 3215651 6431302 9646953 19293906 35372161 70744322 106116483 212232966