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212465133 = 3317462887
BaseRepresentation
bin11001010100111…
…11010111101101
3112210210100101000
430222133113231
5413342341013
633025510513
75156631606
oct1452372755
9483710330
10212465133
11a9a27221
125b1a2439
133502cc1a
1420308dad
15139bc973
hexca9f5ed

212465133 has 16 divisors (see below), whose sum is σ = 333279360. Its totient is φ = 133311168.

The previous prime is 212465119. The next prime is 212465159. The reversal of 212465133 is 331564212.

212465133 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 651 + 3 + 3 = 666.

It is not a de Polignac number, because 212465133 - 216 = 212399597 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212465097 and 212465106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212465173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230985 + ... + 231902.

It is an arithmetic number, because the mean of its divisors is an integer number (20829960).

Almost surely, 2212465133 is an apocalyptic number.

It is an amenable number.

212465133 is a deficient number, since it is larger than the sum of its proper divisors (120814227).

212465133 is a wasteful number, since it uses less digits than its factorization.

212465133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462913 (or 462907 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 212465133 is about 14576.1837598186. The cubic root of 212465133 is about 596.7089563914.

The spelling of 212465133 in words is "two hundred twelve million, four hundred sixty-five thousand, one hundred thirty-three".

Divisors: 1 3 9 17 27 51 153 459 462887 1388661 4165983 7869079 12497949 23607237 70821711 212465133