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199193670 = 232513612791
BaseRepresentation
bin10111101111101…
…11010001000110
3111212211002100100
423313313101012
5401443144140
631433224530
74636055364
oct1367672106
9455732310
10199193670
11a2492175
1256862146
13323642a0
141c652634
151274a530
hexbdf7446

199193670 has 96 divisors (see below), whose sum is σ = 567088704. Its totient is φ = 48211200.

The previous prime is 199193669. The next prime is 199193677. The reversal of 199193670 is 76391991.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199193677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69975 + ... + 72765.

It is an arithmetic number, because the mean of its divisors is an integer number (5907174).

Almost surely, 2199193670 is an apocalyptic number.

199193670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 199193670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283544352).

199193670 is an abundant number, since it is smaller than the sum of its proper divisors (367895034).

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

199193670 is a wasteful number, since it uses less digits than its factorization.

199193670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The square root of 199193670 is about 14113.5987614782. The cubic root of 199193670 is about 584.0165813613.

The spelling of 199193670 in words is "one hundred ninety-nine million, one hundred ninety-three thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 61 65 78 90 117 122 130 183 195 234 305 366 390 549 585 610 793 915 1098 1170 1586 1830 2379 2745 2791 3965 4758 5490 5582 7137 7930 8373 11895 13955 14274 16746 23790 25119 27910 35685 36283 41865 50238 71370 72566 83730 108849 125595 170251 181415 217698 251190 326547 340502 362830 510753 544245 653094 851255 1021506 1088490 1532259 1632735 1702510 2213263 2553765 3064518 3265470 4426526 5107530 6639789 7661295 11066315 13279578 15322590 19919367 22132630 33198945 39838734 66397890 99596835 199193670