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2212940320 = 255176712143
BaseRepresentation
bin1000001111100110…
…1100101000100000
312201020001000102121
42003321230220200
514013003042240
61003330554024
7105560453023
oct20371545040
95636030377
102212940320
11a361688a8
12519138914
13293612656
1416dc891ba
15ce42604a
hex83e6ca20

2212940320 has 96 divisors (see below), whose sum is σ = 5618688768. Its totient is φ = 820604928.

The previous prime is 2212940309. The next prime is 2212940333. The reversal of 2212940320 is 230492122.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 176169 + ... + 188311.

It is an arithmetic number, because the mean of its divisors is an integer number (58528008).

Almost surely, 22212940320 is an apocalyptic number.

2212940320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212940320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809344384).

2212940320 is an abundant number, since it is smaller than the sum of its proper divisors (3405748448).

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

2212940320 is a wasteful number, since it uses less digits than its factorization.

2212940320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12242 (or 12234 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 2212940320 is about 47041.8996215076. The cubic root of 2212940320 is about 1303.1364739677.

The spelling of 2212940320 in words is "two billion, two hundred twelve million, nine hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 67 68 80 85 134 136 160 170 268 272 335 340 536 544 670 680 1072 1139 1340 1360 2144 2278 2680 2720 4556 5360 5695 9112 10720 11390 12143 18224 22780 24286 36448 45560 48572 60715 91120 97144 121430 182240 194288 206431 242860 388576 412862 485720 813581 825724 971440 1032155 1627162 1651448 1942880 2064310 3254324 3302896 4067905 4128620 6508648 6605792 8135810 8257240 13017296 13830877 16271620 16514480 26034592 27661754 32543240 33028960 55323508 65086480 69154385 110647016 130172960 138308770 221294032 276617540 442588064 553235080 1106470160 2212940320