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2168318152 = 23711131914251
BaseRepresentation
bin1000000100111101…
…1110100011001000
312121010001222022201
42001033132203020
513420042140102
6555054325544
7104506254160
oct20117364310
95533058281
102168318152
11a12a60580
125061b98b4
132872bacc0
14167d915a0
15ca55e987
hex813de8c8

2168318152 has 128 divisors (see below), whose sum is σ = 5746406400. Its totient is φ = 738720000.

The previous prime is 2168318149. The next prime is 2168318153. The reversal of 2168318152 is 2518138612.

It is not an unprimeable number, because it can be changed into a prime (2168318153) 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, 145027 + ... + 159277.

It is an arithmetic number, because the mean of its divisors is an integer number (44893800).

Almost surely, 22168318152 is an apocalyptic number.

2168318152 is a gapful number since it is divisible by the number (22) 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 2168318152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2873203200).

2168318152 is an abundant number, since it is smaller than the sum of its proper divisors (3578088248).

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

2168318152 is a wasteful number, since it uses less digits than its factorization.

2168318152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14307 (or 14303 counting only the distinct ones).

The product of its digits is 23040, while the sum is 37.

The square root of 2168318152 is about 46565.2032315977. The cubic root of 2168318152 is about 1294.3180325244.

The spelling of 2168318152 in words is "two billion, one hundred sixty-eight million, three hundred eighteen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 13 14 19 22 26 28 38 44 52 56 76 77 88 91 104 133 143 152 154 182 209 247 266 286 308 364 418 494 532 572 616 728 836 988 1001 1064 1144 1463 1672 1729 1976 2002 2717 2926 3458 4004 5434 5852 6916 8008 10868 11704 13832 14251 19019 21736 28502 38038 57004 76076 99757 114008 152152 156761 185263 199514 270769 313522 370526 399028 541538 627044 741052 798056 1083076 1097327 1254088 1296841 1482104 1895383 2037893 2166152 2194654 2593682 2978459 3519997 3790766 4075786 4389308 5187364 5956918 7039994 7581532 8151572 8778616 10374728 11913836 14079988 14265251 15163064 16303144 20849213 23827672 24639979 28159976 28530502 38719967 41698426 49279958 57061004 77439934 83396852 98559916 114122008 154879868 166793704 197119832 271039769 309759736 542079538 1084159076 2168318152