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199690008 = 23374153547
BaseRepresentation
bin10111110011100…
…00011100011000
3111220202022012020
423321300130120
5402110040013
631452014440
74643223420
oct1371603430
9456668166
10199690008
11a27a1071
1256a61420
13324a918b
141c741480
15127e7623
hexbe70718

199690008 has 128 divisors (see below), whose sum is σ = 596574720. Its totient is φ = 54512640.

The previous prime is 199689989. The next prime is 199690009. The reversal of 199690008 is 800096991.

199690008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199690009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364791 + ... + 365337.

It is an arithmetic number, because the mean of its divisors is an integer number (4660740).

Almost surely, 2199690008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199690008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298287360).

199690008 is an abundant number, since it is smaller than the sum of its proper divisors (396884712).

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

199690008 is a wasteful number, since it uses less digits than its factorization.

199690008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The square root of 199690008 is about 14131.1715013300. The cubic root of 199690008 is about 584.5012507038.

The spelling of 199690008 in words is "one hundred ninety-nine million, six hundred ninety thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 53 56 82 84 106 123 159 164 168 212 246 287 318 328 371 424 492 547 574 636 742 861 984 1094 1113 1148 1272 1484 1641 1722 2173 2188 2226 2296 2968 3282 3444 3829 4346 4376 4452 6519 6564 6888 7658 8692 8904 11487 13038 13128 15211 15316 17384 22427 22974 26076 28991 30422 30632 44854 45633 45948 52152 57982 60844 67281 86973 89708 91266 91896 115964 121688 134562 156989 173946 179416 182532 202937 231928 269124 313978 347892 365064 405874 470967 538248 608811 627956 695784 811748 941934 1188631 1217622 1255912 1623496 1883868 2377262 2435244 3565893 3767736 4754524 4870488 7131786 8320417 9509048 14263572 16640834 24961251 28527144 33281668 49922502 66563336 99845004 199690008