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199084434600 = 233523209103399
BaseRepresentation
bin1011100101101001011…
…0110110010010101000
3201000212112111010212210
42321122112312102220
511230211103401400
6231242542205120
720245332526062
oct2713226662250
9630775433783
10199084434600
1177481a78387
1232700b837a0
1315a097359bc
1498c8672732
1552a2dc0950
hex2e5a5b64a8

199084434600 has 96 divisors (see below), whose sum is σ = 617360040000. Its totient is φ = 53072125440.

The previous prime is 199084434599. The next prime is 199084434623. The reversal of 199084434600 is 6434480991.

It is a happy number.

199084434600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1990844346002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 199084434600.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1873701 + ... + 1977099.

It is an arithmetic number, because the mean of its divisors is an integer number (6430833750).

Almost surely, 2199084434600 is an apocalyptic number.

199084434600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199084434600 is an abundant number, since it is smaller than the sum of its proper divisors (418275605400).

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

199084434600 is a wasteful number, since it uses less digits than its factorization.

199084434600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106627 (or 106618 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 199084434600 in words is "one hundred ninety-nine billion, eighty-four million, four hundred thirty-four thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 3209 6418 9627 12836 16045 19254 25672 32090 38508 48135 64180 77016 80225 96270 103399 128360 160450 192540 206798 240675 310197 320900 385080 413596 481350 516995 620394 641800 827192 962700 1033990 1240788 1550985 1925400 2067980 2481576 2584975 3101970 4135960 5169950 6203940 7754925 10339900 12407880 15509850 20679800 31019700 62039400 331807391 663614782 995422173 1327229564 1659036955 1990844346 2654459128 3318073910 3981688692 4977110865 6636147820 7963377384 8295184775 9954221730 13272295640 16590369550 19908443460 24885554325 33180739100 39816886920 49771108650 66361478200 99542217300 199084434600