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199808253 = 32173181709
BaseRepresentation
bin10111110100011…
…01010011111101
3111220222022101200
423322031103331
5402122331003
631454330113
74644225231
oct1372152375
9456868350
10199808253
11a2871997
1256ab9939
133251ac48
141c7725c1
151281c6a3
hexbe8d4fd

199808253 has 24 divisors (see below), whose sum is σ = 292295640. Its totient is φ = 131518080.

The previous prime is 199808249. The next prime is 199808339. The reversal of 199808253 is 352808991.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1505529 + 198302724 = 1227^2 + 14082^2 .

It is not a de Polignac number, because 199808253 - 22 = 199808249 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 199808199 and 199808208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199808353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281463 + ... + 282171.

It is an arithmetic number, because the mean of its divisors is an integer number (12178985).

Almost surely, 2199808253 is an apocalyptic number.

It is an amenable number.

199808253 is a deficient number, since it is larger than the sum of its proper divisors (92487387).

199808253 is a wasteful number, since it uses less digits than its factorization.

199808253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 199808253 is about 14135.3547178697. The cubic root of 199808253 is about 584.6165973415.

The spelling of 199808253 in words is "one hundred ninety-nine million, eight hundred eight thousand, two hundred fifty-three".

Divisors: 1 3 9 173 181 519 543 709 1557 1629 2127 6381 31313 93939 122657 128329 281817 367971 384987 1103913 1154961 22200917 66602751 199808253