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2164166060 = 2257139111211
BaseRepresentation
bin1000000011111110…
…1000110110101100
312120211021000201112
42000333220312230
513413011303220
6554425331152
7104426052020
oct20077506654
95524230645
102164166060
11a10684aa1
12504936ab8
13286496144
141675d0380
15c9ede5c5
hex80fe8dac

2164166060 has 48 divisors (see below), whose sum is σ = 5231412480. Its totient is φ = 736655040.

The previous prime is 2164166041. The next prime is 2164166083. The reversal of 2164166060 is 606614612.

2164166060 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 2×21641660602 = 9367229470511847200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36146 + ... + 75065.

It is an arithmetic number, because the mean of its divisors is an integer number (108987760).

Almost surely, 22164166060 is an apocalyptic number.

2164166060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2164166060 is an abundant number, since it is smaller than the sum of its proper divisors (3067246420).

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

2164166060 is a wasteful number, since it uses less digits than its factorization.

2164166060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111366 (or 111364 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 2164166060 is about 46520.5982334707. The cubic root of 2164166060 is about 1293.4913454927.

The spelling of 2164166060 in words is "two billion, one hundred sixty-four million, one hundred sixty-six thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 139 140 278 556 695 973 1390 1946 2780 3892 4865 9730 19460 111211 222422 444844 556055 778477 1112110 1556954 2224220 3113908 3892385 7784770 15458329 15569540 30916658 61833316 77291645 108208303 154583290 216416606 309166580 432833212 541041515 1082083030 2164166060