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2243161641 = 372192334919
BaseRepresentation
bin1000010110110011…
…1110111000101001
312210022220102021210
42011230332320221
514043222133031
61010330423333
7106405362600
oct20554767051
95708812253
102243161641
11a5122a5a6
12527291b49
132999642a6
14173cb4a37
15d1de5746
hex85b3ee29

2243161641 has 48 divisors (see below), whose sum is σ = 3821644800. Its totient is φ = 1161512352.

The previous prime is 2243161637. The next prime is 2243161663. The reversal of 2243161641 is 1461613422.

It is not a de Polignac number, because 2243161641 - 22 = 2243161637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2243161599 and 2243161608.

It is not an unprimeable number, because it can be changed into a prime (2243161841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46780 + ... + 81698.

It is an arithmetic number, because the mean of its divisors is an integer number (79617600).

Almost surely, 22243161641 is an apocalyptic number.

2243161641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2243161641 is a deficient number, since it is larger than the sum of its proper divisors (1578483159).

2243161641 is a wasteful number, since it uses less digits than its factorization.

2243161641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34978 (or 34971 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 2243161641 is about 47362.0274164863. The cubic root of 2243161641 is about 1309.0418261869.

The spelling of 2243161641 in words is "two billion, two hundred forty-three million, one hundred sixty-one thousand, six hundred forty-one".

Divisors: 1 3 7 19 21 23 49 57 69 133 147 161 399 437 483 931 1127 1311 2793 3059 3381 9177 21413 34919 64239 104757 244433 663461 733299 803137 1711031 1990383 2409411 4644227 5133093 5621959 13932681 15259603 16865877 32509589 39353713 45778809 97528767 106817221 118061139 320451663 747720547 2243161641