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199807212 = 2231114910159
BaseRepresentation
bin10111110100011…
…01000011101100
3111220222020222010
423322031003230
5402122312322
631454321220
74644222213
oct1372150354
9456866863
10199807212
11a2871130
1256ab9210
133251a627
141c77207a
151281c20c
hexbe8d0ec

199807212 has 48 divisors (see below), whose sum is σ = 512064000. Its totient is φ = 60135360.

The previous prime is 199807207. The next prime is 199807213. The reversal of 199807212 is 212708991.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (199807213) 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, 14589 + ... + 24747.

It is an arithmetic number, because the mean of its divisors is an integer number (10668000).

Almost surely, 2199807212 is an apocalyptic number.

199807212 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 199807212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256032000).

199807212 is an abundant number, since it is smaller than the sum of its proper divisors (312256788).

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

199807212 is a wasteful number, since it uses less digits than its factorization.

199807212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10326 (or 10324 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 199807212 is about 14135.3178952580. The cubic root of 199807212 is about 584.6155820565.

The spelling of 199807212 in words is "one hundred ninety-nine million, eight hundred seven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 149 298 447 596 894 1639 1788 3278 4917 6556 9834 10159 19668 20318 30477 40636 60954 111749 121908 223498 335247 446996 670494 1340988 1513691 3027382 4541073 6054764 9082146 16650601 18164292 33301202 49951803 66602404 99903606 199807212