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220972133 is a prime number
BaseRepresentation
bin11010010101111…
…00010001100101
3120101210112210002
431022330101211
5423032102013
633532111045
75322142424
oct1512742145
9511715702
10220972133
111038076a8
1262005485
1336a1b055
14214c12bb
15145ed358
hexd2bc465

220972133 has 2 divisors, whose sum is σ = 220972134. Its totient is φ = 220972132.

The previous prime is 220972127. The next prime is 220972139. The reversal of 220972133 is 331279022.

220972133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (220972127) and next prime (220972139).

It can be written as a sum of positive squares in only one way, i.e., 164916964 + 56055169 = 12842^2 + 7487^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220972133 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 220972096 and 220972105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220972139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110486066 + 110486067.

It is an arithmetic number, because the mean of its divisors is an integer number (110486067).

Almost surely, 2220972133 is an apocalyptic number.

It is an amenable number.

220972133 is a deficient number, since it is larger than the sum of its proper divisors (1).

220972133 is an equidigital number, since it uses as much as digits as its factorization.

220972133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 220972133 is about 14865.1314491329. The cubic root of 220972133 is about 604.5689464199.

The spelling of 220972133 in words is "two hundred twenty million, nine hundred seventy-two thousand, one hundred thirty-three".