Search a number
-
+
2261531741 = 7323893221
BaseRepresentation
bin1000011011001100…
…0011110001011101
312211121110201022212
42012303003301131
514112423003431
61012224250205
7110020463000
oct20663036135
95747421285
102261531741
11a606372a7
12531470965
132a06c6881
141764d7537
15d382372b
hex86cc3c5d

2261531741 has 32 divisors (see below), whose sum is σ = 2783808000. Its totient is φ = 1832772480.

The previous prime is 2261531711. The next prime is 2261531801. The reversal of 2261531741 is 1471351622.

2261531741 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2261531741 - 210 = 2261530717 is a prime.

It is a super-2 number, since 2×22615317412 = 10229051631100982162, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2261531698 and 2261531707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261531711) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 700511 + ... + 703731.

It is an arithmetic number, because the mean of its divisors is an integer number (86994000).

Almost surely, 22261531741 is an apocalyptic number.

It is an amenable number.

2261531741 is a deficient number, since it is larger than the sum of its proper divisors (522276259).

2261531741 is an equidigital number, since it uses as much as digits as its factorization.

2261531741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354 (or 3340 counting only the distinct ones).

The product of its digits is 10080, while the sum is 32.

The square root of 2261531741 is about 47555.5647742722. The cubic root of 2261531741 is about 1312.6055287002.

The spelling of 2261531741 in words is "two billion, two hundred sixty-one million, five hundred thirty-one thousand, seven hundred forty-one".

Divisors: 1 7 23 49 89 161 343 623 1127 2047 3221 4361 7889 14329 22547 30527 74083 100303 157829 286669 518581 702121 1104803 2006683 3630067 6593387 14046781 25410469 46153709 98327467 323075963 2261531741