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201112992 = 25321741077
BaseRepresentation
bin10111111110010…
…11110110100000
3112000102121011100
423333023312200
5402441103432
631542314400
74661301153
oct1377136640
9460377140
10201112992
11a3583193
1257428a00
1332886a92
141c9d1c9a
15129c907c
hexbfcbda0

201112992 has 72 divisors (see below), whose sum is σ = 605571876. Its totient is φ = 63092736.

The previous prime is 201112991. The next prime is 201113069. The reversal of 201112992 is 299211102.

It can be written as a sum of positive squares in 2 ways, for example, as 168896016 + 32216976 = 12996^2 + 5676^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (201112991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15643 + ... + 25434.

Almost surely, 2201112992 is an apocalyptic number.

It is an amenable number.

201112992 is an abundant number, since it is smaller than the sum of its proper divisors (404458884).

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

201112992 is a wasteful number, since it uses less digits than its factorization.

201112992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41110 (or 41099 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 201112992 is about 14181.4312394765. The cubic root of 201112992 is about 585.8863443297.

The spelling of 201112992 in words is "two hundred one million, one hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 41077 82154 123231 164308 246462 328616 369693 492924 657232 698309 739386 985848 1314464 1396618 1478772 1971696 2094927 2793236 2957544 3943392 4189854 5586472 5915088 6284781 8379708 11172944 11830176 12569562 16759416 22345888 25139124 33518832 50278248 67037664 100556496 201112992