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212980833 = 3413223907
BaseRepresentation
bin11001011000111…
…01010001100001
3112211202112210000
430230131101201
5414010341313
633044530213
75164210242
oct1454352141
9484675700
10212980833
11aa24971a
125b3b0969
1335180880
1420400cc9
1513a70673
hexcb1d461

212980833 has 40 divisors (see below), whose sum is σ = 344546048. Its totient is φ = 130333536.

The previous prime is 212980813. The next prime is 212980847. The reversal of 212980833 is 338089212.

It is a happy number.

It is not a de Polignac number, because 212980833 - 226 = 145871969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212980813) 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 39 ways as a sum of consecutive naturals, for example, 234366 + ... + 235272.

Almost surely, 2212980833 is an apocalyptic number.

It is an amenable number.

212980833 is a deficient number, since it is larger than the sum of its proper divisors (131565215).

212980833 is a wasteful number, since it uses less digits than its factorization.

212980833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1146 counting only the distinct ones).

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

The square root of 212980833 is about 14593.8628539534. The cubic root of 212980833 is about 597.1913479712.

The spelling of 212980833 in words is "two hundred twelve million, nine hundred eighty thousand, eight hundred thirty-three".

Divisors: 1 3 9 13 27 39 81 117 223 351 669 907 1053 2007 2721 2899 6021 8163 8697 11791 18063 24489 26091 35373 73467 78273 106119 202261 234819 318357 606783 955071 1820349 2629393 5461047 7888179 16383141 23664537 70993611 212980833