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199985076 = 223217326773
BaseRepresentation
bin10111110101110…
…00011110110100
3111221022021221200
423322320132310
5402144010301
631502212500
74645562604
oct1372703664
9457267850
10199985076
11a2982825
1256b84130
1332580585
141c7bac04
1512854c86
hexbeb87b4

199985076 has 36 divisors (see below), whose sum is σ = 535255812. Its totient is φ = 62740224.

The previous prime is 199985053. The next prime is 199985077. The reversal of 199985076 is 670589991.

It can be written as a sum of positive squares in 2 ways, for example, as 123876900 + 76108176 = 11130^2 + 8724^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199985077) 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, 162775 + ... + 163998.

It is an arithmetic number, because the mean of its divisors is an integer number (14868217).

Almost surely, 2199985076 is an apocalyptic number.

It is an amenable number.

199985076 is an abundant number, since it is smaller than the sum of its proper divisors (335270736).

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

199985076 is a wasteful number, since it uses less digits than its factorization.

199985076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326800 (or 326795 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 199985076 is about 14141.6079708073. The cubic root of 199985076 is about 584.7890012672.

The spelling of 199985076 in words is "one hundred ninety-nine million, nine hundred eighty-five thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 326773 653546 980319 1307092 1960638 2940957 3921276 5555141 5881914 11110282 11763828 16665423 22220564 33330846 49996269 66661692 99992538 199985076