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115222112334 = 2347238535179
BaseRepresentation
bin110101101001111000…
…1011110100001001110
3102000102000201202210000
41223103301132201032
53341433330043314
6124533213425130
711216211536520
oct1532361364116
9360360652700
10115222112334
114495797342a
121a3b779b1a6
13ab333857c4
145810981a10
152ee57c5209
hex1ad3c5e84e

115222112334 has 160 divisors (see below), whose sum is σ = 308315589120. Its totient is φ = 31446283968.

The previous prime is 115222112251. The next prime is 115222112339. The reversal of 115222112334 is 433211222511.

It is a happy number.

115222112334 is a `hidden beast` number, since 11 + 522 + 2 + 1 + 123 + 3 + 4 = 666.

It is a super-2 number, since 2×1152221123342 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 115222112298 and 115222112307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115222112339) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22245357 + ... + 22250535.

It is an arithmetic number, because the mean of its divisors is an integer number (1926972432).

Almost surely, 2115222112334 is an apocalyptic number.

115222112334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115222112334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154157794560).

115222112334 is an abundant number, since it is smaller than the sum of its proper divisors (193093476786).

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

115222112334 is a wasteful number, since it uses less digits than its factorization.

115222112334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6076 (or 6067 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 115222112334 its reverse (433211222511), we get a palindrome (548433334845).

The spelling of 115222112334 in words is "one hundred fifteen billion, two hundred twenty-two million, one hundred twelve thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 81 126 138 161 162 189 207 322 378 414 483 567 621 853 966 1134 1242 1449 1706 1863 2559 2898 3726 4347 5118 5179 5971 7677 8694 10358 11942 13041 15354 15537 17913 19619 23031 26082 31074 35826 36253 39238 46062 46611 53739 58857 69093 72506 93222 107478 108759 117714 119117 137333 138186 139833 161217 176571 217518 238234 274666 279666 322434 326277 353142 357351 411999 419499 483651 529713 652554 714702 823998 833819 838998 967302 978831 1059426 1072053 1235997 1589139 1667638 1957662 2144106 2471994 2501457 2936493 3178278 3216159 3707991 4417687 5002914 5872986 6432318 7415982 7504371 8835374 9648477 11123973 13253061 15008742 19296954 22247946 22513113 26506122 30923809 39759183 45026226 61847618 67539339 79518366 92771427 101606801 119277549 135078678 185542854 203213602 238555098 278314281 304820403 357832647 556628562 609640806 711247607 715665294 834942843 914461209 1422495214 1669885686 1828922418 2133742821 2504828529 2743383627 4267485642 5009657058 5486767254 6401228463 8230150881 12802456926 16460301762 19203685389 38407370778 57611056167 115222112334