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2001917190 = 2357133719819
BaseRepresentation
bin111011101010010…
…1101010100000110
312011111221221010010
41313110231110012
513044442322230
6530352011050
7100416005160
oct16724552406
95144857103
102001917190
11938037019
1247a530a86
1325b998bb0
1414dc37930
15bab409b0
hex7752d506

2001917190 has 128 divisors (see below), whose sum is σ = 6073482240. Its totient is φ = 410946048.

The previous prime is 2001917173. The next prime is 2001917191. The reversal of 2001917190 is 917191002.

It is a super-2 number, since 2×20019171902 = 8015344871234992200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001917191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91101 + ... + 110919.

It is an arithmetic number, because the mean of its divisors is an integer number (47449080).

Almost surely, 22001917190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001917190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036741120).

2001917190 is an abundant number, since it is smaller than the sum of its proper divisors (4071565050).

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

2001917190 is a wasteful number, since it uses less digits than its factorization.

2001917190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19886.

The product of its (nonzero) digits is 1134, while the sum is 30.

The square root of 2001917190 is about 44742.7892514537. The cubic root of 2001917190 is about 1260.3235059977.

The spelling of 2001917190 in words is "two billion, one million, nine hundred seventeen thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 37 39 42 65 70 74 78 91 105 111 130 182 185 195 210 222 259 273 370 390 455 481 518 546 555 777 910 962 1110 1295 1365 1443 1554 2405 2590 2730 2886 3367 3885 4810 6734 7215 7770 10101 14430 16835 19819 20202 33670 39638 50505 59457 99095 101010 118914 138733 198190 257647 277466 297285 416199 515294 594570 693665 733303 772941 832398 1288235 1387330 1466606 1545882 1803529 2080995 2199909 2576470 3607058 3666515 3864705 4161990 4399818 5133121 5410587 7333030 7729410 9017645 9532939 10266242 10821174 10999545 15399363 18035290 19065878 21999090 25665605 27052935 28598817 30798726 47664695 51331210 54105870 57197634 66730573 76996815 95329390 133461146 142994085 153993630 200191719 285988170 333652865 400383438 667305730 1000958595 2001917190