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211984345 = 5295971349
BaseRepresentation
bin11001010001010…
…01111111011001
3112202212220212001
430220221333121
5413231444340
633011321001
75152560106
oct1450517731
9482786761
10211984345
11a9728a81
125abb0161
1334bc2131
1420221aad
151392529a
hexca29fd9

211984345 has 32 divisors (see below), whose sum is σ = 272160000. Its totient is φ = 158242560.

The previous prime is 211984343. The next prime is 211984351. The reversal of 211984345 is 543489112.

211984345 is a nontrivial binomial coefficient, being equal to C(20591, 2).

It is not a de Polignac number, because 211984345 - 21 = 211984343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211984343) 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, 607231 + ... + 607579.

It is an arithmetic number, because the mean of its divisors is an integer number (8505000).

Almost surely, 2211984345 is an apocalyptic number.

211984345 is the 20590-th triangular number.

211984345 is the 6864-th centered nonagonal number.

It is an amenable number.

211984345 is a deficient number, since it is larger than the sum of its proper divisors (60175655).

211984345 is a wasteful number, since it uses less digits than its factorization.

211984345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513.

The product of its digits is 34560, while the sum is 37.

The square root of 211984345 is about 14559.6821737289. The cubic root of 211984345 is about 596.2585182796.

The spelling of 211984345 in words is "two hundred eleven million, nine hundred eighty-four thousand, three hundred forty-five".

Divisors: 1 5 29 59 71 145 295 349 355 1711 1745 2059 4189 8555 10121 10295 20591 20945 24779 50605 102955 121481 123895 597139 607405 718591 1461961 2985695 3592955 7309805 42396869 211984345