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2261615957 is a prime number
BaseRepresentation
bin1000011011001101…
…1000010101010101
312211121121222211222
42012303120111111
514112433202312
61012230140125
7110021263346
oct20663302525
95747558758
102261615957
11a606945a7
125314b1645
132a0725cc3
1417651a0cd
15d383d672
hex86cd8555

2261615957 has 2 divisors, whose sum is σ = 2261615958. Its totient is φ = 2261615956.

The previous prime is 2261615903. The next prime is 2261615959. The reversal of 2261615957 is 7595161622.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2015471236 + 246144721 = 44894^2 + 15689^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2261615957 is a prime.

It is a super-2 number, since 2×22616159572 = 10229813473914051698, which contains 22 as substring.

Together with 2261615959, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2261615959) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1130807978 + 1130807979.

It is an arithmetic number, because the mean of its divisors is an integer number (1130807979).

Almost surely, 22261615957 is an apocalyptic number.

It is an amenable number.

2261615957 is a deficient number, since it is larger than the sum of its proper divisors (1).

2261615957 is an equidigital number, since it uses as much as digits as its factorization.

2261615957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 226800, while the sum is 44.

The square root of 2261615957 is about 47556.4502144557. The cubic root of 2261615957 is about 1312.6218216420.

The spelling of 2261615957 in words is "two billion, two hundred sixty-one million, six hundred fifteen thousand, nine hundred fifty-seven".