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2272792013 is a prime number
BaseRepresentation
bin1000011101111000…
…0000110111001101
312212101122210111222
42013132000313031
514123313321023
61013305453125
7110215261532
oct20736006715
95771583458
102272792013
11a66a28308
125351a11a5
132a2b39c5b
14177bc8d89
15d47e9cc8
hex87780dcd

2272792013 has 2 divisors, whose sum is σ = 2272792014. Its totient is φ = 2272792012.

The previous prime is 2272791979. The next prime is 2272792061. The reversal of 2272792013 is 3102972722.

2272792013 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., 1453286884 + 819505129 = 38122^2 + 28627^2 .

It is a cyclic number.

It is not a de Polignac number, because 2272792013 - 26 = 2272791949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2272792213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1136396006 + 1136396007.

It is an arithmetic number, because the mean of its divisors is an integer number (1136396007).

Almost surely, 22272792013 is an apocalyptic number.

It is an amenable number.

2272792013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2272792013 is an equidigital number, since it uses as much as digits as its factorization.

2272792013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 2272792013 is about 47673.8084591529. The cubic root of 2272792013 is about 1314.7804310833.

The spelling of 2272792013 in words is "two billion, two hundred seventy-two million, seven hundred ninety-two thousand, thirteen".