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2216376060 = 22351272391217
BaseRepresentation
bin1000010000011011…
…0011011011111100
312201110111120101020
42010012303123330
514014343013220
61003532344140
7105631612533
oct20406633374
95643446336
102216376060
11a380a5158
1251a315050
13294246432
1417050131a
15ce8a4040
hex841b36fc

2216376060 has 96 divisors (see below), whose sum is σ = 6286049280. Its totient is φ = 583446528.

The previous prime is 2216376059. The next prime is 2216376067. The reversal of 2216376060 is 606736122.

2216376060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×22163760602 = 9824645678682247200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216376067) 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, 1820572 + ... + 1821788.

It is an arithmetic number, because the mean of its divisors is an integer number (65479680).

Almost surely, 22216376060 is an apocalyptic number.

2216376060 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 2216376060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143024640).

2216376060 is an abundant number, since it is smaller than the sum of its proper divisors (4069673220).

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

2216376060 is a wasteful number, since it uses less digits than its factorization.

2216376060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 2216376060 is about 47078.4033289151. The cubic root of 2216376060 is about 1303.8105278487.

The spelling of 2216376060 in words is "two billion, two hundred sixteen million, three hundred seventy-six thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 239 254 381 478 508 635 717 762 956 1195 1217 1270 1434 1524 1905 2390 2434 2540 2868 3585 3651 3810 4780 4868 6085 7170 7302 7620 12170 14340 14604 18255 24340 30353 36510 60706 73020 91059 121412 151765 154559 182118 290863 303530 309118 364236 455295 463677 581726 607060 618236 772795 872589 910590 927354 1163452 1454315 1545590 1745178 1821180 1854708 2318385 2908630 3091180 3490356 4362945 4636770 5817260 8725890 9273540 17451780 36939601 73879202 110818803 147758404 184698005 221637606 369396010 443275212 554094015 738792020 1108188030 2216376060