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227260460010116 = 221323728333207221
BaseRepresentation
bin110011101011000100110010…
…111111011000101010000100
31002210122212222012111222002202
4303223010302333120222010
5214241413410230310431
62123202003011054032
765604012025222001
oct6353046277305204
91083585865458082
10227260460010116
116645969000a335
12215a47242a1318
1399a675303a600
144019671b948a8
151b418758b58cb
hexceb132fd8a84

227260460010116 has 72 divisors (see below), whose sum is σ = 442447346230344. Its totient is φ = 102018537953280.

The previous prime is 227260460010109. The next prime is 227260460010161. The reversal of 227260460010116 is 611010064062722.

It is a happy number.

227260460010116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 117004243922500 + 110256216087616 = 10816850^2 + 10500296^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 227260460010116.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69255386 + ... + 72462606.

It is an arithmetic number, because the mean of its divisors is an integer number (6145102030977).

Almost surely, 2227260460010116 is an apocalyptic number.

227260460010116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

227260460010116 is a deficient number, since it is larger than the sum of its proper divisors (215186886220228).

227260460010116 is a wasteful number, since it uses less digits than its factorization.

227260460010116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210121 (or 3210106 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 227260460010116 in words is "two hundred twenty-seven trillion, two hundred sixty billion, four hundred sixty million, ten thousand, one hundred sixteen".

Divisors: 1 2 4 13 26 37 52 74 148 169 338 481 676 962 1924 2833 5666 6253 11332 12506 25012 36829 73658 104821 147316 209642 419284 478777 957554 1362673 1915108 2725346 3207221 5450692 6414442 12828884 17714749 35429498 41693873 70858996 83387746 118667177 166775492 237334354 474668708 542020349 1084040698 1542673301 2168081396 3085346602 6170693204 9086057093 18172114186 20054752913 36344228372 40109505826 80219011652 118118742209 236237484418 336184112441 472474968836 672368224882 1344736449764 1535543648717 3071087297434 4370393461733 6142174594868 8740786923466 17481573846932 56815115002529 113630230005058 227260460010116