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27731002230 = 23251994393527
BaseRepresentation
bin11001110100111001…
…011000001101110110
32122120121202212120200
4121310321120031312
5423243114032410
620423415341330
72001125426001
oct316471301566
978517685520
1027731002230
1110840478468
12545b081846
1327cc286179
1414b0d6a538
15ac482d3c0
hex674e58376

27731002230 has 96 divisors (see below), whose sum is σ = 72648576000. Its totient is φ = 7338931776.

The previous prime is 27731002147. The next prime is 27731002267. The reversal of 27731002230 is 3220013772.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 27731002194 and 27731002203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7860727 + ... + 7864253.

It is an arithmetic number, because the mean of its divisors is an integer number (756756000).

Almost surely, 227731002230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27731002230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36324288000).

27731002230 is an abundant number, since it is smaller than the sum of its proper divisors (44917573770).

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

27731002230 is a wasteful number, since it uses less digits than its factorization.

27731002230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4178 (or 4175 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The spelling of 27731002230 in words is "twenty-seven billion, seven hundred thirty-one million, two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 199 398 439 597 878 995 1194 1317 1791 1990 2195 2634 2985 3527 3582 3951 4390 5970 6585 7054 7902 8955 10581 13170 17635 17910 19755 21162 31743 35270 39510 52905 63486 87361 105810 158715 174722 262083 317430 436805 524166 701873 786249 873610 1310415 1403746 1548353 1572498 2105619 2620830 3096706 3509365 3931245 4211238 4645059 6316857 7018730 7741765 7862490 9290118 10528095 12633714 13935177 15483530 21056190 23225295 27870354 31584285 46450590 63168570 69675885 139351770 308122247 616244494 924366741 1540611235 1848733482 2773100223 3081222470 4621833705 5546200446 9243667410 13865501115 27731002230