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212496966 = 23311357739
BaseRepresentation
bin11001010101001…
…11001001000110
3112210211222001000
430222213021012
5413344400331
633030314130
75160123453
oct1452471106
9483758030
10212496966
11a9a49130
125b1b8946
1335041566
142031682a
15139c70e6
hexcaa7246

212496966 has 32 divisors (see below), whose sum is σ = 515145600. Its totient is φ = 64392840.

The previous prime is 212496961. The next prime is 212496989. The reversal of 212496966 is 669694212.

212496966 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212496961) 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 15 ways as a sum of consecutive naturals, for example, 178276 + ... + 179463.

It is an arithmetic number, because the mean of its divisors is an integer number (16098300).

Almost surely, 2212496966 is an apocalyptic number.

212496966 is an abundant number, since it is smaller than the sum of its proper divisors (302648634).

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

212496966 is a wasteful number, since it uses less digits than its factorization.

212496966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357761 (or 357755 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 212496966 is about 14577.2756714003. The cubic root of 212496966 is about 596.7387559282.

The spelling of 212496966 in words is "two hundred twelve million, four hundred ninety-six thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 357739 715478 1073217 2146434 3219651 3935129 6439302 7870258 9658953 11805387 19317906 23610774 35416161 70832322 106248483 212496966