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199952232201 = 32216110280849
BaseRepresentation
bin1011101000111000010…
…1001110111100001001
3201010010000101211101200
42322032011032330021
511234000232412301
6231505022134413
720306000634201
oct2721605167411
9633100354350
10199952232201
1177887905587
1232903721409
1315b17465ac7
14996ba09401
15530418ac86
hex2e8e14ef09

199952232201 has 12 divisors (see below), whose sum is σ = 288953570100. Its totient is φ = 133239790080.

The previous prime is 199952232197. The next prime is 199952232203. The reversal of 199952232201 is 102232259991.

199952232201 is a `hidden beast` number, since 1 + 9 + 99 + 522 + 32 + 2 + 0 + 1 = 666.

199952232201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 110011622400 + 89940609801 = 331680^2 + 299901^2 .

It is not a de Polignac number, because 199952232201 - 22 = 199952232197 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (199952232203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5120976 + ... + 5159873.

It is an arithmetic number, because the mean of its divisors is an integer number (24079464175).

Almost surely, 2199952232201 is an apocalyptic number.

It is an amenable number.

199952232201 is a deficient number, since it is larger than the sum of its proper divisors (89001337899).

199952232201 is a wasteful number, since it uses less digits than its factorization.

199952232201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10283016 (or 10283013 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 199952232201 in words is "one hundred ninety-nine billion, nine hundred fifty-two million, two hundred thirty-two thousand, two hundred one".

Divisors: 1 3 9 2161 6483 19449 10280849 30842547 92527641 22216914689 66650744067 199952232201