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199830036 = 223721719991
BaseRepresentation
bin10111110100100…
…10101000010100
3111221000102021110
423322102220110
5402124030121
631455015020
74644345600
oct1372225024
9457012243
10199830036
11a288729a
1256b0a470
1332527b33
141c77a500
1512823d76
hexbe92a14

199830036 has 72 divisors (see below), whose sum is σ = 574330176. Its totient is φ = 53733120.

The previous prime is 199829983. The next prime is 199830047. The reversal of 199830036 is 630038991.

199830036 is a nontrivial binomial coefficient, being equal to C(19992, 2).

It is a super-2 number, since 2×1998300362 = 79864086575522592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 199829976 and 199830003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1 + ... + 19991.

It is an arithmetic number, because the mean of its divisors is an integer number (7976808).

Almost surely, 2199830036 is an apocalyptic number.

199830036 is the 19991-st triangular number and also the 9996-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199830036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287165088).

199830036 is an abundant number, since it is smaller than the sum of its proper divisors (374500140).

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

199830036 is a wasteful number, since it uses less digits than its factorization.

199830036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20029 (or 20020 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 199830036 is about 14136.1252116696. The cubic root of 199830036 is about 584.6378414433.

The spelling of 199830036 in words is "one hundred ninety-nine million, eight hundred thirty thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 476 588 714 833 1428 1666 2499 3332 4998 9996 19991 39982 59973 79964 119946 139937 239892 279874 339847 419811 559748 679694 839622 979559 1019541 1359388 1679244 1959118 2039082 2378929 2938677 3918236 4078164 4757858 5877354 7136787 9515716 11754708 14273574 16652503 28547148 33305006 49957509 66610012 99915018 199830036