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22506137333 is a prime number
BaseRepresentation
bin10100111101011110…
…000110011011110101
32011002111021020100222
4110331132012123311
5332043032343313
614201132344125
71424503003511
oct247536063365
964074236328
1022506137333
1195aa1450a9
124441315045
132178975734
141137093141
158bacaa208
hex53d7866f5

22506137333 has 2 divisors, whose sum is σ = 22506137334. Its totient is φ = 22506137332.

The previous prime is 22506137309. The next prime is 22506137347. The reversal of 22506137333 is 33373160522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21595184209 + 910953124 = 146953^2 + 30182^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22506137333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22506137293 and 22506137302.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22506137833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11253068666 + 11253068667.

It is an arithmetic number, because the mean of its divisors is an integer number (11253068667).

Almost surely, 222506137333 is an apocalyptic number.

It is an amenable number.

22506137333 is a deficient number, since it is larger than the sum of its proper divisors (1).

22506137333 is an equidigital number, since it uses as much as digits as its factorization.

22506137333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 68040, while the sum is 35.

Adding to 22506137333 its reverse (33373160522), we get a palindrome (55879297855).

The spelling of 22506137333 in words is "twenty-two billion, five hundred six million, one hundred thirty-seven thousand, three hundred thirty-three".