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2240827137 = 3217432892
BaseRepresentation
bin1000010110010000…
…0100111100000001
312210011111210221200
42011210010330001
514042122432022
61010204411413
7106346500503
oct20544047401
95704453850
102240827137
11a4a98565a
12526546b69
13299327823
14173867d73
15d1ad3bac
hex85904f01

2240827137 has 54 divisors (see below), whose sum is σ = 3548568582. Its totient is φ = 1357880832.

The previous prime is 2240827117. The next prime is 2240827151. The reversal of 2240827137 is 7317280422.

It can be written as a sum of positive squares in 3 ways, for example, as 96118416 + 2144708721 = 9804^2 + 46311^2 .

It is not a de Polignac number, because 2240827137 - 210 = 2240826113 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2240827117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 25177789 + ... + 25177877.

It is an arithmetic number, because the mean of its divisors is an integer number (65714233).

Almost surely, 22240827137 is an apocalyptic number.

It is an amenable number.

2240827137 is a deficient number, since it is larger than the sum of its proper divisors (1307741445).

2240827137 is an equidigital number, since it uses as much as digits as its factorization.

2240827137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2240827137 is about 47337.3756877164. The cubic root of 2240827137 is about 1308.5875530647.

The spelling of 2240827137 in words is "two billion, two hundred forty million, eight hundred twenty-seven thousand, one hundred thirty-seven".

Divisors: 1 3 9 17 43 51 89 129 153 267 387 731 801 1513 1849 2193 3827 4539 5547 6579 7921 11481 13617 16641 23763 31433 34443 65059 71289 94299 134657 164561 195177 282897 340603 403971 493683 585531 1021809 1211913 1481049 2797537 3065427 5790251 8392611 14645929 17370753 25177833 43937787 52112259 131813361 248980793 746942379 2240827137