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200241540 = 223254143631
BaseRepresentation
bin10111110111101…
…11000110000100
3111221210022202100
423323313012010
5402230212130
631511512100
74651011402
oct1373670604
9457708670
10200241540
11a3038484
1257088630
1332640225
141c846472
15128a5c60
hexbef7184

200241540 has 144 divisors (see below), whose sum is σ = 637693056. Its totient is φ = 50803200.

The previous prime is 200241539. The next prime is 200241541. The reversal of 200241540 is 45142002.

It is an interprime number because it is at equal distance from previous prime (200241539) and next prime (200241541).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200241541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317025 + ... + 317655.

It is an arithmetic number, because the mean of its divisors is an integer number (4428424).

Almost surely, 2200241540 is an apocalyptic number.

200241540 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 200241540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318846528).

200241540 is an abundant number, since it is smaller than the sum of its proper divisors (437451516).

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

200241540 is a wasteful number, since it uses less digits than its factorization.

200241540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 200241540 is about 14150.6727755256. The cubic root of 200241540 is about 585.0388753477.

Adding to 200241540 its reverse (45142002), we get a palindrome (245383542).

The spelling of 200241540 in words is "two hundred million, two hundred forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 43 45 60 82 86 90 123 129 164 172 180 205 215 246 258 369 387 410 430 492 516 615 631 645 738 774 820 860 1230 1262 1290 1476 1548 1763 1845 1893 1935 2460 2524 2580 3155 3526 3690 3786 3870 5289 5679 6310 7052 7380 7572 7740 8815 9465 10578 11358 12620 15867 17630 18930 21156 22716 25871 26445 27133 28395 31734 35260 37860 51742 52890 54266 56790 63468 77613 79335 81399 103484 105780 108532 113580 129355 135665 155226 158670 162798 232839 244197 258710 271330 310452 317340 325596 388065 406995 465678 488394 517420 542660 776130 813990 931356 976788 1112453 1164195 1220985 1552260 1627980 2224906 2328390 2441970 3337359 4449812 4656780 4883940 5562265 6674718 10012077 11124530 13349436 16686795 20024154 22249060 33373590 40048308 50060385 66747180 100120770 200241540