Search a number
-
+
2212328304 = 243217985829
BaseRepresentation
bin1000001111011101…
…0111001101110000
312201011212220220100
42003313113031300
514012324001204
61003305512400
7105552323514
oct20367271560
95634786810
102212328304
11a3588aaaa
12518aa2700
13293459c04
1416db6a144
15ce354a39
hex83dd7370

2212328304 has 60 divisors (see below), whose sum is σ = 6226108200. Its totient is φ = 733314432.

The previous prime is 2212328281. The next prime is 2212328329. The reversal of 2212328304 is 4038232122.

2212328304 is a `hidden beast` number, since 22 + 12 + 328 + 304 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17139 + ... + 68690.

It is an arithmetic number, because the mean of its divisors is an integer number (103768470).

Almost surely, 22212328304 is an apocalyptic number.

2212328304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2212328304 is an abundant number, since it is smaller than the sum of its proper divisors (4013779896).

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

2212328304 is a wasteful number, since it uses less digits than its factorization.

2212328304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86022 (or 86013 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2212328304 is about 47035.3941622689. The cubic root of 2212328304 is about 1303.0163300579.

The spelling of 2212328304 in words is "two billion, two hundred twelve million, three hundred twenty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 179 358 537 716 1074 1432 1611 2148 2864 3222 4296 6444 8592 12888 25776 85829 171658 257487 343316 514974 686632 772461 1029948 1373264 1544922 2059896 3089844 4119792 6179688 12359376 15363391 30726782 46090173 61453564 92180346 122907128 138270519 184360692 245814256 276541038 368721384 553082076 737442768 1106164152 2212328304