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211986680 = 23531170957
BaseRepresentation
bin11001010001010…
…10100011111000
3112202220001001112
430220222203320
5413232033210
633011335452
75152566653
oct1450524370
9482801045
10211986680
11a972a804
125abb1588
1334bc3209
142022289a
1513925d05
hexca2a8f8

211986680 has 32 divisors (see below), whose sum is σ = 492359040. Its totient is φ = 82058880.

The previous prime is 211986647. The next prime is 211986683. The reversal of 211986680 is 86689112.

211986680 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 (211986683) 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 7 ways as a sum of consecutive naturals, for example, 84239 + ... + 86718.

It is an arithmetic number, because the mean of its divisors is an integer number (15386220).

Almost surely, 2211986680 is an apocalyptic number.

211986680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211986680 is an abundant number, since it is smaller than the sum of its proper divisors (280372360).

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

211986680 is a wasteful number, since it uses less digits than its factorization.

211986680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170999 (or 170995 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 211986680 is about 14559.7623606981. The cubic root of 211986680 is about 596.2607075270.

The spelling of 211986680 in words is "two hundred eleven million, nine hundred eighty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 170957 341914 683828 854785 1367656 1709570 3419140 5299667 6838280 10599334 21198668 26498335 42397336 52996670 105993340 211986680