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199969812 = 223275091559
BaseRepresentation
bin10111110101101…
…00110000010100
3111221021112000100
423322310300110
5402143013222
631502014100
74645500240
oct1372646024
9457245010
10199969812
11a2972309
1256b77330
1332576643
141c7b5420
15128504ac
hexbeb4c14

199969812 has 72 divisors (see below), whose sum is σ = 579196800. Its totient is φ = 56985408.

The previous prime is 199969789. The next prime is 199969817. The reversal of 199969812 is 218969991.

199969812 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 2×1999698122 = 79975851422630688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199969817) 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, 127489 + ... + 129047.

It is an arithmetic number, because the mean of its divisors is an integer number (8044400).

Almost surely, 2199969812 is an apocalyptic number.

199969812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199969812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289598400).

199969812 is an abundant number, since it is smaller than the sum of its proper divisors (379226988).

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

199969812 is a wasteful number, since it uses less digits than its factorization.

199969812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2085 (or 2080 counting only the distinct ones).

The product of its digits is 629856, while the sum is 54.

The square root of 199969812 is about 14141.0682764776. The cubic root of 199969812 is about 584.7741227462.

The spelling of 199969812 in words is "one hundred ninety-nine million, nine hundred sixty-nine thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 509 1018 1527 1559 2036 3054 3118 3563 4581 4677 6108 6236 7126 9162 9354 10689 10913 14031 14252 18324 18708 21378 21826 28062 32067 32739 42756 43652 56124 64134 65478 98217 128268 130956 196434 392868 793531 1587062 2380593 3174124 4761186 5554717 7141779 9522372 11109434 14283558 16664151 22218868 28567116 33328302 49992453 66656604 99984906 199969812