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2295687140 = 2251710763103
BaseRepresentation
bin1000100011010101…
…0110011111100100
312220222201222201122
42020311112133210
514200143442030
61015444313112
7110614006265
oct21065263744
95828658648
102295687140
11a789457aa
125409a2798
132a77c5076
1417ac6896c
15d681d8e5
hex88d567e4

2295687140 has 48 divisors (see below), whose sum is σ = 5152315392. Its totient is φ = 856167936.

The previous prime is 2295687133. The next prime is 2295687167. The reversal of 2295687140 is 417865922.

It is a happy number.

2295687140 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 2×22956871402 = 10540358889522759200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2295687091 and 2295687100.

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, 4829 + ... + 67931.

It is an arithmetic number, because the mean of its divisors is an integer number (107339904).

Almost surely, 22295687140 is an apocalyptic number.

2295687140 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 2295687140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2576157696).

2295687140 is an abundant number, since it is smaller than the sum of its proper divisors (2856628252).

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

2295687140 is a wasteful number, since it uses less digits than its factorization.

2295687140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63236 (or 63234 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 2295687140 is about 47913.3294606000. The cubic root of 2295687140 is about 1319.1805328485.

The spelling of 2295687140 in words is "two billion, two hundred ninety-five million, six hundred eighty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 107 170 214 340 428 535 1070 1819 2140 3638 7276 9095 18190 36380 63103 126206 252412 315515 631030 1072751 1262060 2145502 4291004 5363755 6752021 10727510 13504042 21455020 27008084 33760105 67520210 114784357 135040420 229568714 459137428 573921785 1147843570 2295687140