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200231906680 = 235132514433463
BaseRepresentation
bin1011101001111011000…
…0000110110101111000
3201010211111122202122201
42322132300012311320
511240033332003210
6231552452355544
720315635060531
oct2723660066570
9633744582581
10200231906680
1177a10767113
1232981315bb4
1315b60398270
149996c0b688
15531d9d253a
hex2e9ec06d78

200231906680 has 128 divisors (see below), whose sum is σ = 488350840320. Its totient is φ = 73449792000.

The previous prime is 200231906669. The next prime is 200231906687. The reversal of 200231906680 is 86609132002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200231906687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57818629 + ... + 57822091.

It is an arithmetic number, because the mean of its divisors is an integer number (3815240940).

Almost surely, 2200231906680 is an apocalyptic number.

200231906680 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 200231906680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244175420160).

200231906680 is an abundant number, since it is smaller than the sum of its proper divisors (288118933640).

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

200231906680 is a wasteful number, since it uses less digits than its factorization.

200231906680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4181 (or 4177 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The spelling of 200231906680 in words is "two hundred billion, two hundred thirty-one million, nine hundred six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 251 260 443 502 520 886 1004 1255 1772 2008 2215 2510 3263 3463 3544 4430 5020 5759 6526 6926 8860 10040 11518 13052 13852 16315 17315 17720 23036 26104 27704 28795 32630 34630 45019 46072 57590 65260 69260 90038 111193 115180 130520 138520 180076 222386 225095 230360 360152 444772 450190 555965 869213 889544 900380 1111930 1445509 1534109 1738426 1800760 2223860 2891018 3068218 3476852 4346065 4447720 5782036 6136436 6953704 7227545 7670545 8692130 11299769 11564072 12272872 14455090 15341090 17384260 19943417 22599538 28910180 30682180 34768520 39886834 45199076 56498845 57820360 61364360 79773668 90398152 99717085 112997690 159547336 199434170 225995380 385061359 398868340 451990760 770122718 797736680 1540245436 1925306795 3080490872 3850613590 5005797667 7701227180 10011595334 15402454360 20023190668 25028988335 40046381336 50057976670 100115953340 200231906680