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199531696 = 24713433187
BaseRepresentation
bin10111110010010…
…01110010110000
3111220110021000211
423321021302300
5402040003241
631444353504
74641664030
oct1371116260
9456407024
10199531696
11a26a3131
12569a5894
13324520c0
141c6dd8c0
15127b5781
hexbe49cb0

199531696 has 80 divisors (see below), whose sum is σ = 487024384. Its totient is φ = 77075712.

The previous prime is 199531663. The next prime is 199531727. The reversal of 199531696 is 696135991.

199531696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61015 + ... + 64201.

Almost surely, 2199531696 is an apocalyptic number.

199531696 is a gapful number since it is divisible by the number (16) 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 199531696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243512192).

199531696 is an abundant number, since it is smaller than the sum of its proper divisors (287492688).

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

199531696 is a wasteful number, since it uses less digits than its factorization.

199531696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3258 (or 3252 counting only the distinct ones).

The product of its digits is 393660, while the sum is 49.

The square root of 199531696 is about 14125.5688735003. The cubic root of 199531696 is about 584.3467478539.

The spelling of 199531696 in words is "one hundred ninety-nine million, five hundred thirty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 43 52 56 86 91 104 112 172 182 208 301 344 364 559 602 688 728 1118 1204 1456 2236 2408 3187 3913 4472 4816 6374 7826 8944 12748 15652 22309 25496 31304 41431 44618 50992 62608 82862 89236 137041 165724 178472 274082 290017 331448 356944 548164 580034 662896 959287 1096328 1160068 1781533 1918574 2192656 2320136 3563066 3837148 4640272 7126132 7674296 12470731 14252264 15348592 24941462 28504528 49882924 99765848 199531696