Search a number
-
+
2117187144 = 2332255111527
BaseRepresentation
bin111111000110001…
…1011011001001000
312110112212020202200
41332030123121020
513313444442034
6550030400200
7103315536162
oct17614333110
95415766680
102117187144
11997108046
124b1060060
13279827b77
14161281932
15c5d0ea99
hex7e31b648

2117187144 has 48 divisors (see below), whose sum is σ = 5736793920. Its totient is φ = 705391200.

The previous prime is 2117187139. The next prime is 2117187161. The reversal of 2117187144 is 4417817112.

2117187144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2117187099 and 2117187108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177909 + ... + 189435.

It is an arithmetic number, because the mean of its divisors is an integer number (119516540).

Almost surely, 22117187144 is an apocalyptic number.

2117187144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2117187144 is an abundant number, since it is smaller than the sum of its proper divisors (3619606776).

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

2117187144 is a wasteful number, since it uses less digits than its factorization.

2117187144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14090 (or 14083 counting only the distinct ones).

The product of its digits is 12544, while the sum is 36.

The square root of 2117187144 is about 46012.9019297849. The cubic root of 2117187144 is about 1284.0632484056.

The spelling of 2117187144 in words is "two billion, one hundred seventeen million, one hundred eighty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2551 5102 7653 10204 11527 15306 20408 22959 23054 30612 34581 45918 46108 61224 69162 91836 92216 103743 138324 183672 207486 276648 414972 829944 29405377 58810754 88216131 117621508 176432262 235243016 264648393 352864524 529296786 705729048 1058593572 2117187144