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2261346373 = 114131092
BaseRepresentation
bin1000011011001001…
…0110100001000101
312211121010022001101
42012302112201011
514112401040443
61012220300101
7110016061366
oct20662264105
95747108041
102261346373
11a60520000
125313a1631
132a06603a0
14176489b6d
15d37d884d
hex86c96845

2261346373 has 30 divisors (see below), whose sum is σ = 2703610770. Its totient is φ = 1880223840.

The previous prime is 2261346337. The next prime is 2261346383. The reversal of 2261346373 is 3736431622.

It can be written as a sum of positive squares in 3 ways, for example, as 342731169 + 1918615204 = 18513^2 + 43802^2 .

It is a de Polignac number, because none of the positive numbers 2k-2261346373 is a prime.

It is a super-2 number, since 2×22613463732 = 10227374837360510258, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261346383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 20746243 + ... + 20746351.

It is an arithmetic number, because the mean of its divisors is an integer number (90120359).

Almost surely, 22261346373 is an apocalyptic number.

It is an amenable number.

2261346373 is a deficient number, since it is larger than the sum of its proper divisors (442264397).

2261346373 is an frugal number, since it uses more digits than its factorization.

2261346373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 133 counting only the distinct ones).

The product of its digits is 108864, while the sum is 37.

The square root of 2261346373 is about 47553.6157720946. The cubic root of 2261346373 is about 1312.5696648495.

Adding to 2261346373 its reverse (3736431622), we get a palindrome (5997777995).

It can be divided in two parts, 22613 and 46373, that added together give a palindrome (68986).

The spelling of 2261346373 in words is "two billion, two hundred sixty-one million, three hundred forty-six thousand, three hundred seventy-three".

Divisors: 1 11 13 109 121 143 1199 1331 1417 1573 11881 13189 14641 15587 17303 130691 145079 154453 171457 190333 1437601 1595869 1698983 1886027 15813611 18688813 20746297 173949721 205576943 2261346373