Search a number
-
+
2188105956 = 2232593102497
BaseRepresentation
bin1000001001101011…
…1101100011100100
312122111022022002100
42002122331203210
513440123342311
61001042412100
7105136410441
oct20232754344
95574268070
102188105956
11a23146433
12510961030
1328b42896a
1416a8629c8
15cc16ca56
hex826bd8e4

2188105956 has 36 divisors (see below), whose sum is σ = 5540426892. Its totient is φ = 728131584.

The previous prime is 2188105879. The next prime is 2188105979. The reversal of 2188105956 is 6595018812.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1542132900 + 645973056 = 39270^2 + 25416^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 29901 + ... + 72596.

It is an arithmetic number, because the mean of its divisors is an integer number (153900747).

Almost surely, 22188105956 is an apocalyptic number.

It is an amenable number.

2188105956 is an abundant number, since it is smaller than the sum of its proper divisors (3352320936).

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

2188105956 is a wasteful number, since it uses less digits than its factorization.

2188105956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103100 (or 103095 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The square root of 2188105956 is about 46777.1948282494. The cubic root of 2188105956 is about 1298.2433781284.

The spelling of 2188105956 in words is "two billion, one hundred eighty-eight million, one hundred five thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 593 1186 1779 2372 3558 5337 7116 10674 21348 102497 204994 307491 409988 614982 922473 1229964 1844946 3689892 60780721 121561442 182342163 243122884 364684326 547026489 729368652 1094052978 2188105956