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2265144204397 is a prime number
BaseRepresentation
bin100000111101100101000…
…111011001110001101101
322000112201210110000000111
4200331211013121301231
5244103003404020042
64452332021300021
7322436246025154
oct40754507316155
98015653400014
102265144204397
117a370793aa38
12307000264611
131357a9cbc249
147b8c270259b
153ddc55e3517
hex20f651d9c6d

2265144204397 has 2 divisors, whose sum is σ = 2265144204398. Its totient is φ = 2265144204396.

The previous prime is 2265144204317. The next prime is 2265144204443. The reversal of 2265144204397 is 7934024415622.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1664858606436 + 600285597961 = 1290294^2 + 774781^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2265144204397 is a prime.

It is a super-2 number, since 2×22651442043972 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2265144204397.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2265144204317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1132572102198 + 1132572102199.

It is an arithmetic number, because the mean of its divisors is an integer number (1132572102199).

Almost surely, 22265144204397 is an apocalyptic number.

It is an amenable number.

2265144204397 is a deficient number, since it is larger than the sum of its proper divisors (1).

2265144204397 is an equidigital number, since it uses as much as digits as its factorization.

2265144204397 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2903040, while the sum is 49.

The spelling of 2265144204397 in words is "two trillion, two hundred sixty-five billion, one hundred forty-four million, two hundred four thousand, three hundred ninety-seven".