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772266133 is a prime number
BaseRepresentation
bin101110000001111…
…101100010010101
31222211011011222101
4232001331202111
53040200004013
6204344202101
725065103522
oct5601754225
91884134871
10772266133
11366a18a81
12196769331
13c3cc2512
14747ca149
1547be98dd
hex2e07d895

772266133 has 2 divisors, whose sum is σ = 772266134. Its totient is φ = 772266132.

The previous prime is 772266107. The next prime is 772266137. The reversal of 772266133 is 331662277.

772266133 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., 634133124 + 138133009 = 25182^2 + 11753^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-772266133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 772266092 and 772266101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (772266137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 386133066 + 386133067.

It is an arithmetic number, because the mean of its divisors is an integer number (386133067).

Almost surely, 2772266133 is an apocalyptic number.

It is an amenable number.

772266133 is a deficient number, since it is larger than the sum of its proper divisors (1).

772266133 is an equidigital number, since it uses as much as digits as its factorization.

772266133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 63504, while the sum is 37.

The square root of 772266133 is about 27789.6767343559. The cubic root of 772266133 is about 917.4639248116.

The spelling of 772266133 in words is "seven hundred seventy-two million, two hundred sixty-six thousand, one hundred thirty-three".