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196800331 = 7132166357
BaseRepresentation
bin10111011101011…
…10111101001011
3111201022111022011
423232232331023
5400340102311
631310040351
74606526620
oct1356567513
9451274264
10196800331
11a10a8002
1255aa90b7
1331a06b00
141c1cc347
1512426321
hexbbaef4b

196800331 has 12 divisors (see below), whose sum is σ = 243548112. Its totient is φ = 155709216.

The previous prime is 196800319. The next prime is 196800361. The reversal of 196800331 is 133008691.

It is not a de Polignac number, because 196800331 - 29 = 196799819 is a prime.

It is a super-2 number, since 2×1968003312 = 77460740563419122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 196800293 and 196800302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196800311) 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, 81996 + ... + 84361.

It is an arithmetic number, because the mean of its divisors is an integer number (20295676).

Almost surely, 2196800331 is an apocalyptic number.

196800331 is a deficient number, since it is larger than the sum of its proper divisors (46747781).

196800331 is a wasteful number, since it uses less digits than its factorization.

196800331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166390 (or 166377 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 196800331 is about 14028.5541307720. The cubic root of 196800331 is about 581.6681376233.

The spelling of 196800331 in words is "one hundred ninety-six million, eight hundred thousand, three hundred thirty-one".

Divisors: 1 7 13 91 169 1183 166357 1164499 2162641 15138487 28114333 196800331