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2183328168 = 233712996001
BaseRepresentation
bin1000001000100010…
…1111000110101000
312122011022120012020
42002020233012220
513432413000133
61000352144440
7105050661150
oct20210570650
95564276166
102183328168
11a2048284a
1250b238120
1328a445078
14169d7b760
15cba270b3
hex8222f1a8

2183328168 has 32 divisors (see below), whose sum is σ = 6238080960. Its totient is φ = 623808000.

The previous prime is 2183328157. The next prime is 2183328179. The reversal of 2183328168 is 8618233812.

It is an interprime number because it is at equal distance from previous prime (2183328157) and next prime (2183328179).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6497833 + ... + 6498168.

It is an arithmetic number, because the mean of its divisors is an integer number (194940030).

Almost surely, 22183328168 is an apocalyptic number.

2183328168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2183328168 is an abundant number, since it is smaller than the sum of its proper divisors (4054752792).

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

2183328168 is a wasteful number, since it uses less digits than its factorization.

2183328168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12996017 (or 12996013 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 2183328168 is about 46726.0972904864. The cubic root of 2183328168 is about 1297.2977731390.

It can be divided in two parts, 2183328 and 168, that multiplied together give a square (366799104 = 191522).

The spelling of 2183328168 in words is "two billion, one hundred eighty-three million, three hundred twenty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 12996001 25992002 38988003 51984004 77976006 90972007 103968008 155952012 181944014 272916021 311904024 363888028 545832042 727776056 1091664084 2183328168