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2188131841 = 72343316067
BaseRepresentation
bin1000001001101100…
…0011111000000001
312122111100121121001
42002123003320001
513440130204331
61001043132001
7105136546060
oct20233037001
95574317531
102188131841
11a23163925
12510974001
1328b43768c
1416a86c1d7
15cc175561
hex826c3e01

2188131841 has 16 divisors (see below), whose sum is σ = 2670142464. Its totient is φ = 1752269904.

The previous prime is 2188131791. The next prime is 2188131877. The reversal of 2188131841 is 1481318812.

It is not a de Polignac number, because 2188131841 - 29 = 2188131329 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2188131841.

It is not an unprimeable number, because it can be changed into a prime (2188111841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151111 + ... + 164956.

It is an arithmetic number, because the mean of its divisors is an integer number (166883904).

Almost surely, 22188131841 is an apocalyptic number.

It is an amenable number.

2188131841 is a deficient number, since it is larger than the sum of its proper divisors (482010623).

2188131841 is a wasteful number, since it uses less digits than its factorization.

2188131841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316140.

The product of its digits is 12288, while the sum is 37.

The square root of 2188131841 is about 46777.4715114017. The cubic root of 2188131841 is about 1298.2484974565.

The spelling of 2188131841 in words is "two billion, one hundred eighty-eight million, one hundred thirty-one thousand, eight hundred forty-one".

Divisors: 1 7 23 43 161 301 989 6923 316067 2212469 7269541 13590881 50886787 95136167 312590263 2188131841