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2216344380 = 2235314129063
BaseRepresentation
bin1000010000011010…
…1011101100111100
312201110102221220220
42010012223230330
514014341010010
61003531541340
7105631421265
oct20406535474
95643387826
102216344380
11a38083378
1251a2ba850
13294234ba3
141704d396c
15ce899970
hex841abb3c

2216344380 has 96 divisors (see below), whose sum is σ = 6562418688. Its totient is φ = 557990400.

The previous prime is 2216344379. The next prime is 2216344387. The reversal of 2216344380 is 834436122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216344387) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61729 + ... + 90791.

It is an arithmetic number, because the mean of its divisors is an integer number (68358528).

Almost surely, 22216344380 is an apocalyptic number.

2216344380 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 2216344380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281209344).

2216344380 is an abundant number, since it is smaller than the sum of its proper divisors (4346074308).

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

2216344380 is a wasteful number, since it uses less digits than its factorization.

2216344380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29147 (or 29145 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 2216344380 is about 47078.0668677039. The cubic root of 2216344380 is about 1303.8043157690.

The spelling of 2216344380 in words is "two billion, two hundred sixteen million, three hundred forty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 41 60 62 82 93 123 124 155 164 186 205 246 310 372 410 465 492 615 620 820 930 1230 1271 1860 2460 2542 3813 5084 6355 7626 12710 15252 19065 25420 29063 38130 58126 76260 87189 116252 145315 174378 290630 348756 435945 581260 871890 900953 1191583 1743780 1801906 2383166 2702859 3574749 3603812 4504765 4766332 5405718 5957915 7149498 9009530 10811436 11915830 13514295 14298996 17873745 18019060 23831660 27028590 35747490 36939073 54057180 71494980 73878146 110817219 147756292 184695365 221634438 369390730 443268876 554086095 738781460 1108172190 2216344380