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212212917 = 3277094751
BaseRepresentation
bin11001010011000…
…01110010110101
3112210022112101200
430221201302311
5413311303132
633020243113
75154531360
oct1451416265
9483275350
10212212917
11a9874784
125b0a0499
1334c72197
14202810d7
151396cd7c
hexca61cb5

212212917 has 24 divisors (see below), whose sum is σ = 350887680. Its totient is φ = 121068000.

The previous prime is 212212909. The next prime is 212212933. The reversal of 212212917 is 719212212.

212212917 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 212212917 - 23 = 212212909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212212937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42292 + ... + 47042.

It is an arithmetic number, because the mean of its divisors is an integer number (14620320).

Almost surely, 2212212917 is an apocalyptic number.

It is an amenable number.

212212917 is a deficient number, since it is larger than the sum of its proper divisors (138674763).

212212917 is a wasteful number, since it uses less digits than its factorization.

212212917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5473 (or 5470 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 212212917 is about 14567.5295434744. The cubic root of 212212917 is about 596.4727464375.

The spelling of 212212917 in words is "two hundred twelve million, two hundred twelve thousand, nine hundred seventeen".

Divisors: 1 3 7 9 21 63 709 2127 4751 4963 6381 14253 14889 33257 42759 44667 99771 299313 3368459 10105377 23579213 30316131 70737639 212212917