Search a number
-
+
2225515120637 is a prime number
BaseRepresentation
bin100000011000101011000…
…010011100011111111101
321212202102222022221221112
4200120223002130133331
5242430323332330022
64422215412411405
7316534224254624
oct40305302343775
97782388287845
102225515120637
117889212a2846
122bb3a0616b65
13131b32a37363
1479a034c86bb
153cd564778e2
hex2062b09c7fd

2225515120637 has 2 divisors, whose sum is σ = 2225515120638. Its totient is φ = 2225515120636.

The previous prime is 2225515120607. The next prime is 2225515120639. The reversal of 2225515120637 is 7360215155222.

2225515120637 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1702466505796 + 523048614841 = 1304786^2 + 723221^2 .

It is a cyclic number.

It is not a de Polignac number, because 2225515120637 - 210 = 2225515119613 is a prime.

Together with 2225515120639, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 2225515120594 and 2225515120603.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2225515120639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1112757560318 + 1112757560319.

It is an arithmetic number, because the mean of its divisors is an integer number (1112757560319).

Almost surely, 22225515120637 is an apocalyptic number.

It is an amenable number.

2225515120637 is a deficient number, since it is larger than the sum of its proper divisors (1).

2225515120637 is an equidigital number, since it uses as much as digits as its factorization.

2225515120637 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252000, while the sum is 41.

The spelling of 2225515120637 in words is "two trillion, two hundred twenty-five billion, five hundred fifteen million, one hundred twenty thousand, six hundred thirty-seven".