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214885100196 = 223213459156197
BaseRepresentation
bin1100100000100000100…
…1100110101010100100
3202112122201020010021200
43020020021212222210
512010041041201241
6242414501242500
721345024133404
oct3101011465244
9675581203250
10214885100196
11831500452a8
1235790703430
1317357108880
14a586d56804
1558ca13e4b6
hex3208266aa4

214885100196 has 36 divisors (see below), whose sum is σ = 584964996252. Its totient is φ = 66118492224.

The previous prime is 214885100191. The next prime is 214885100257. The reversal of 214885100196 is 691001588412.

It is a happy number.

214885100196 is a `hidden beast` number, since 2 + 1 + 48 + 8 + 510 + 0 + 1 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11222436096 + 203662664100 = 105936^2 + 451290^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (214885100191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229577631 + ... + 229578566.

Almost surely, 2214885100196 is an apocalyptic number.

214885100196 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

214885100196 is an abundant number, since it is smaller than the sum of its proper divisors (370079896056).

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

214885100196 is a wasteful number, since it uses less digits than its factorization.

214885100196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459156220 (or 459156215 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 214885100196 in words is "two hundred fourteen billion, eight hundred eighty-five million, one hundred thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 459156197 918312394 1377468591 1836624788 2754937182 4132405773 5509874364 5969030561 8264811546 11938061122 16529623092 17907091683 23876122244 35814183366 53721275049 71628366732 107442550098 214885100196