Search a number
-
+
2156116356 = 22327121092
BaseRepresentation
bin1000000010000011…
…1011100110000100
312120021010001121100
42000200323212010
513403431210411
6553541020100
7104300454342
oct20040734604
95507101540
102156116356
11a07087149
125020b4630
132849081c4
141664d6992
15c944e456
hex8083b984

2156116356 has 81 divisors (see below), whose sum is σ = 5579208453. Its totient is φ = 702082080.

The previous prime is 2156116337. The next prime is 2156116367. The reversal of 2156116356 is 6536116512.

The square root of 2156116356 is 46434.

It is a perfect power (a square), and thus also a powerful number.

2156116356 is a `hidden beast` number, since 2 + 1 + 5 + 6 + 11 + 635 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1502802756 + 653313600 = 38766^2 + 25560^2 .

It is a super-2 number, since 2×21561163562 = 9297675481221437472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2156116356.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19780830 + ... + 19780938.

Almost surely, 22156116356 is an apocalyptic number.

2156116356 is the 46434-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2156116356

2156116356 is an abundant number, since it is smaller than the sum of its proper divisors (3423092097).

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

2156116356 is a wasteful number, since it uses less digits than its factorization.

2156116356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 185 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The cubic root of 2156116356 is about 1291.8856217060.

Multiplying 2156116356 by its sum of digits (36), we get a square (77620188816 = 2786042).

2156116356 divided by its sum of digits (36) gives a square (59892121 = 77392).

Multiplying 2156116356 by its product of digits (32400), we get a square (69858169934400 = 83581202).

The spelling of 2156116356 in words is "two billion, one hundred fifty-six million, one hundred sixteen thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 71 109 142 213 218 284 327 426 436 639 654 852 981 1278 1308 1962 2556 3924 5041 7739 10082 11881 15123 15478 20164 23217 23762 30246 30956 35643 45369 46434 47524 60492 69651 71286 90738 92868 106929 139302 142572 181476 213858 278604 427716 549469 843551 1098938 1648407 1687102 2197876 2530653 3296814 3374204 4945221 5061306 6593628 7591959 9890442 10122612 15183918 19780884 30367836 59892121 119784242 179676363 239568484 359352726 539029089 718705452 1078058178 2156116356