Search a number
-
+
2166677296 = 247231591511
BaseRepresentation
bin1000000100100100…
…1101111100110000
312120222222121111021
42001021031330300
513414132133141
6554555225224
7104456311300
oct20111157460
95528877437
102166677296
11a1203a7a3
12505748214
13286b65194
14167a85600
15ca3386d1
hex8124df30

2166677296 has 120 divisors (see below), whose sum is σ = 5129671680. Its totient is φ = 882806400.

The previous prime is 2166677281. The next prime is 2166677297. The reversal of 2166677296 is 6927766612.

It is not an unprimeable number, because it can be changed into a prime (2166677297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1433181 + ... + 1434691.

It is an arithmetic number, because the mean of its divisors is an integer number (42747264).

Almost surely, 22166677296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166677296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564835840).

2166677296 is an abundant number, since it is smaller than the sum of its proper divisors (2962994384).

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

2166677296 is a wasteful number, since it uses less digits than its factorization.

2166677296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1610 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 52.

The square root of 2166677296 is about 46547.5809897786. The cubic root of 2166677296 is about 1293.9914621435.

The spelling of 2166677296 in words is "two billion, one hundred sixty-six million, six hundred seventy-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 59 62 98 112 118 124 196 217 236 248 392 413 434 472 496 784 826 868 944 1511 1519 1652 1736 1829 2891 3022 3038 3304 3472 3658 5782 6044 6076 6608 7316 10577 11564 12088 12152 12803 14632 21154 23128 24176 24304 25606 29264 42308 46256 46841 51212 74039 84616 89149 89621 93682 102424 148078 169232 178298 179242 187364 204848 296156 327887 356596 358484 374728 592312 624043 655774 713192 716968 749456 1184624 1248086 1311548 1426384 1433936 2295209 2496172 2623096 2763619 4368301 4590418 4992344 5246192 5527238 8736602 9180836 9984688 11054476 17473204 18361672 19345333 22108952 34946408 36723344 38690666 44217904 69892816 77381332 135417331 154762664 270834662 309525328 541669324 1083338648 2166677296