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212319846 = 23329135581
BaseRepresentation
bin11001010011110…
…11111001100110
3112210111222002000
430221323321212
5413323213341
633022430130
75155455204
oct1451737146
9483458060
10212319846
11a9938052
125b132346
1334caba5b
14202ac074
151398e8b6
hexca7be66

212319846 has 32 divisors (see below), whose sum is σ = 488095200. Its totient is φ = 68332320.

The previous prime is 212319841. The next prime is 212319871. The reversal of 212319846 is 648913212.

212319846 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 212319846.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212319841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66225 + ... + 69356.

It is an arithmetic number, because the mean of its divisors is an integer number (15252975).

Almost surely, 2212319846 is an apocalyptic number.

212319846 is an abundant number, since it is smaller than the sum of its proper divisors (275775354).

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

212319846 is a wasteful number, since it uses less digits than its factorization.

212319846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135621 (or 135615 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 212319846 is about 14571.1991956736. The cubic root of 212319846 is about 596.5729123868.

The spelling of 212319846 in words is "two hundred twelve million, three hundred nineteen thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 135581 271162 406743 813486 1220229 2440458 3660687 3931849 7321374 7863698 11795547 23591094 35386641 70773282 106159923 212319846