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9805332223 = 1937115312097
BaseRepresentation
bin10010010000111000…
…10111111011111111
3221022100110111010201
421020130113323333
5130040131112343
64300550144331
7464661643261
oct111034277377
927270414121
109805332223
114181944255
121a979520a7
13c0357c23b
1469036bb31
153c5c5894d
hex248717eff

9805332223 has 16 divisors (see below), whose sum is σ = 10610429920. Its totient is φ = 9029615616.

The previous prime is 9805332221. The next prime is 9805332253. The reversal of 9805332223 is 3222335089.

It is a 16-Lehmer number, since φ(9805332223) divides (9805332223-1)16.

It is a cyclic number.

It is not a de Polignac number, because 9805332223 - 21 = 9805332221 is a prime.

It is a super-2 number, since 2×98053322232 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9805332221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804511 + ... + 816607.

It is an arithmetic number, because the mean of its divisors is an integer number (663151870).

Almost surely, 29805332223 is an apocalyptic number.

9805332223 is a deficient number, since it is larger than the sum of its proper divisors (805097697).

9805332223 is a wasteful number, since it uses less digits than its factorization.

9805332223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13306.

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 9805332223 is about 99021.8774968441. The cubic root of 9805332223 is about 2140.3630140136.

The spelling of 9805332223 in words is "nine billion, eight hundred five million, three hundred thirty-two thousand, two hundred twenty-three".

Divisors: 1 19 37 703 1153 12097 21907 42661 229843 447589 810559 8504191 13947841 265008979 516070117 9805332223