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212106465 = 3357122129
BaseRepresentation
bin11001010010001…
…11110011100001
3112210010010101000
430221013303201
5413244401330
633014102213
75153606124
oct1451076341
9483103330
10212106465
11a98017aa
125b04a969
1334c358ac
14202543bb
151394b560
hexca47ce1

212106465 has 32 divisors (see below), whose sum is σ = 382406400. Its totient is φ = 111525120.

The previous prime is 212106463. The next prime is 212106473. The reversal of 212106465 is 564601212.

212106465 is a `hidden beast` number, since 2 + 1 + 2 + 10 + 646 + 5 = 666.

212106465 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212106465 - 21 = 212106463 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (212106463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1480 + ... + 20649.

It is an arithmetic number, because the mean of its divisors is an integer number (11950200).

Almost surely, 2212106465 is an apocalyptic number.

It is an amenable number.

212106465 is a deficient number, since it is larger than the sum of its proper divisors (170299935).

212106465 is a wasteful number, since it uses less digits than its factorization.

212106465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22214 (or 22208 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 212106465 is about 14563.8753427788. The cubic root of 212106465 is about 596.3729938907.

Adding to 212106465 its reverse (564601212), we get a palindrome (776707677).

The spelling of 212106465 in words is "two hundred twelve million, one hundred six thousand, four hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 71 135 213 355 639 1065 1917 3195 9585 22129 66387 110645 199161 331935 597483 995805 1571159 2987415 4713477 7855795 14140431 23567385 42421293 70702155 212106465