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2245122961 is a prime number
BaseRepresentation
bin1000010111010001…
…1101101110010001
312210110121001201021
42011310131232101
514044222413321
61010440435441
7106431141664
oct20564355621
95713531637
102245122961
11a5234a124
12527a78b81
1329a19cc33
141742656db
15d2181941
hex85d1db91

2245122961 has 2 divisors, whose sum is σ = 2245122962. Its totient is φ = 2245122960.

The previous prime is 2245122953. The next prime is 2245122991. The reversal of 2245122961 is 1692215422.

It is a happy number.

2245122961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2017716561 + 227406400 = 44919^2 + 15080^2 .

It is a cyclic number.

It is not a de Polignac number, because 2245122961 - 23 = 2245122953 is a prime.

It is a super-2 number, since 2×22451229612 = 10081154220018815042, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2245122991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1122561480 + 1122561481.

It is an arithmetic number, because the mean of its divisors is an integer number (1122561481).

Almost surely, 22245122961 is an apocalyptic number.

It is an amenable number.

2245122961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2245122961 is an equidigital number, since it uses as much as digits as its factorization.

2245122961 is an evil number, because the sum of its binary digits is even.

The product of its digits is 17280, while the sum is 34.

The square root of 2245122961 is about 47382.7285094474. The cubic root of 2245122961 is about 1309.4232375460.

The spelling of 2245122961 in words is "two billion, two hundred forty-five million, one hundred twenty-two thousand, nine hundred sixty-one".