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2182010868 = 22321014391367
BaseRepresentation
bin1000001000001110…
…1101011111110100
312122001211122012100
42002003231133310
513432043321433
61000304022100
7105033533502
oct20203553764
95561748170
102182010868
11a1a763074
1250a901930
1328a0a35bb
14169b17672
15cb866b13
hex820ed7f4

2182010868 has 72 divisors (see below), whose sum is σ = 5587021440. Its totient is φ = 717969600.

The previous prime is 2182010839. The next prime is 2182010869. The reversal of 2182010868 is 8680102812.

2182010868 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 2×21820108682 = 9522342856140226848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2182010869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1595521 + ... + 1596887.

It is an arithmetic number, because the mean of its divisors is an integer number (77597520).

Almost surely, 22182010868 is an apocalyptic number.

It is an amenable number.

2182010868 is an abundant number, since it is smaller than the sum of its proper divisors (3405010572).

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

2182010868 is a wasteful number, since it uses less digits than its factorization.

2182010868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 2182010868 is about 46711.9991865045. Note that the first 3 decimals coincide. The cubic root of 2182010868 is about 1297.0368146341.

The spelling of 2182010868 in words is "two billion, one hundred eighty-two million, ten thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 439 606 878 909 1212 1317 1367 1756 1818 2634 2734 3636 3951 4101 5268 5468 7902 8202 12303 15804 16404 24606 44339 49212 88678 133017 138067 177356 266034 276134 399051 414201 532068 552268 600113 798102 828402 1200226 1242603 1596204 1656804 1800339 2400452 2485206 3600678 4970412 5401017 7201356 10802034 21604068 60611413 121222826 181834239 242445652 363668478 545502717 727336956 1091005434 2182010868