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200540799240 = 23353197555761
BaseRepresentation
bin1011101011000100101…
…0011100000100001000
3201011122000220010120220
42322301022130010020
511241201421033430
6232043245150040
720326405445115
oct2726112340410
9634560803526
10200540799240
117805a064721
1232a4885b320
1315bac38a822
1499c5c5790c
15533ab9b110
hex2eb129c108

200540799240 has 128 divisors (see below), whose sum is σ = 627433067520. Its totient is φ = 51218841600.

The previous prime is 200540799211. The next prime is 200540799281. The reversal of 200540799240 is 42997045002.

It is a super-2 number, since 2×2005407992402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 200540799192 and 200540799201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82960 + ... + 638720.

It is an arithmetic number, because the mean of its divisors is an integer number (4901820840).

Almost surely, 2200540799240 is an apocalyptic number.

200540799240 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 200540799240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313716533760).

200540799240 is an abundant number, since it is smaller than the sum of its proper divisors (426892268280).

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

200540799240 is a wasteful number, since it uses less digits than its factorization.

200540799240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555903 (or 555899 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 200540799240 in words is "two hundred billion, five hundred forty million, seven hundred ninety-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 97 120 124 155 186 194 248 291 310 372 388 465 485 582 620 744 776 930 970 1164 1240 1455 1860 1940 2328 2910 3007 3720 3880 5820 6014 9021 11640 12028 15035 18042 24056 30070 36084 45105 60140 72168 90210 120280 180420 360840 555761 1111522 1667283 2223044 2778805 3334566 4446088 5557610 6669132 8336415 11115220 13338264 16672830 17228591 22230440 33345660 34457182 51685773 53908817 66691320 68914364 86142955 103371546 107817634 137828728 161726451 172285910 206743092 215635268 258428865 269544085 323452902 344571820 413486184 431270536 516857730 539088170 646905804 689143640 808632255 1033715460 1078176340 1293811608 1617264510 1671173327 2067430920 2156352680 3234529020 3342346654 5013519981 6469058040 6684693308 8355866635 10027039962 13369386616 16711733270 20054079924 25067599905 33423466540 40108159848 50135199810 66846933080 100270399620 200540799240