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2206605312 = 213321732
BaseRepresentation
bin1000001110000110…
…0010000000000000
312200210010011102200
42003201202000000
514004342332222
61002543113200
7105452556432
oct20341420000
95623104380
102206605312
11a3263125a
12516ba2800
13292205022
1416d0ba652
15cdac3eac
hex83862000

2206605312 has 126 divisors (see below), whose sum is σ = 6411306837. Its totient is φ = 731283456.

The previous prime is 2206605301. The next prime is 2206605319. The reversal of 2206605312 is 2135066022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2206605312 is a `hidden beast` number, since 2 + 20 + 6 + 605 + 31 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1735888896 + 470716416 = 41664^2 + 21696^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33216.

It is not an unprimeable number, because it can be changed into a prime (2206605319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12754858 + ... + 12755030.

Almost surely, 22206605312 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 2206605312

2206605312 is an abundant number, since it is smaller than the sum of its proper divisors (4204701525).

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

2206605312 is an frugal number, since it uses more digits than its factorization.

2206605312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2206605312 is about 46974.5176877847. The cubic root of 2206605312 is about 1301.8917845600.

The spelling of 2206605312 in words is "two billion, two hundred six million, six hundred five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 173 192 256 288 346 384 512 519 576 692 768 1024 1038 1152 1384 1536 1557 2048 2076 2304 2768 3072 3114 4096 4152 4608 5536 6144 6228 8192 8304 9216 11072 12288 12456 16608 18432 22144 24576 24912 29929 33216 36864 44288 49824 59858 66432 73728 88576 89787 99648 119716 132864 177152 179574 199296 239432 265728 269361 354304 359148 398592 478864 531456 538722 708608 718296 797184 957728 1062912 1077444 1417216 1436592 1594368 1915456 2125824 2154888 2873184 3188736 3830912 4251648 4309776 5746368 6377472 7661824 8619552 11492736 12754944 15323648 17239104 22985472 30647296 34478208 45970944 61294592 68956416 91941888 122589184 137912832 183883776 245178368 275825664 367767552 551651328 735535104 1103302656 2206605312