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200002140 = 2232513127673
BaseRepresentation
bin10111110101111…
…00101001011100
3111221100011100200
423322330221130
5402200032030
631502423500
74645663422
oct1372745134
9457304320
10200002140
11a2994628
1256b91b90
1332588280
141c7c3112
1512859d60
hexbebca5c

200002140 has 144 divisors (see below), whose sum is σ = 659463168. Its totient is φ = 48771072.

The previous prime is 200002133. The next prime is 200002171. The reversal of 200002140 is 41200002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

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, 296844 + ... + 297516.

Almost surely, 2200002140 is an apocalyptic number.

200002140 is a gapful number since it is divisible by the number (20) 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 200002140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329731584).

200002140 is an abundant number, since it is smaller than the sum of its proper divisors (459461028).

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

200002140 is a wasteful number, since it uses less digits than its factorization.

200002140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 200002140 is about 14142.2112839541. The cubic root of 200002140 is about 584.8056334345.

Adding to 200002140 its reverse (41200002), we get a palindrome (241202142).

The spelling of 200002140 in words is "two hundred million, two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 127 130 156 180 195 234 254 260 381 390 468 508 585 635 673 762 780 1143 1170 1270 1346 1524 1651 1905 2019 2286 2340 2540 2692 3302 3365 3810 4038 4572 4953 5715 6057 6604 6730 7620 8076 8255 8749 9906 10095 11430 12114 13460 14859 16510 17498 19812 20190 22860 24228 24765 26247 29718 30285 33020 34996 40380 43745 49530 52494 59436 60570 74295 78741 85471 87490 99060 104988 121140 131235 148590 157482 170942 174980 256413 262470 297180 314964 341884 393705 427355 512826 524940 769239 787410 854710 1025652 1111123 1282065 1538478 1574820 1709420 2222246 2564130 3076956 3333369 3846195 4444492 5128260 5555615 6666738 7692390 10000107 11111230 13333476 15384780 16666845 20000214 22222460 33333690 40000428 50000535 66667380 100001070 200002140