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22002240624193 is a prime number
BaseRepresentation
bin1010000000010110010111…
…01111001001011001000001
32212220101121222102212012001
411000023023233021121001
510340441042044433233
6114443404555304001
74430416014354004
oct500131357113101
985811558385161
1022002240624193
117013109264a55
122574221a4b001
13c37a57b0142b
14560cb252153b
152824de90727d
hex1402cbbc9641

22002240624193 has 2 divisors, whose sum is σ = 22002240624194. Its totient is φ = 22002240624192.

The previous prime is 22002240624181. The next prime is 22002240624337. The reversal of 22002240624193 is 39142604220022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20443718089729 + 1558522534464 = 4521473^2 + 1248408^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22002240624193 is a prime.

It is not a weakly prime, because it can be changed into another prime (22002240625193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11001120312096 + 11001120312097.

It is an arithmetic number, because the mean of its divisors is an integer number (11001120312097).

Almost surely, 222002240624193 is an apocalyptic number.

It is an amenable number.

22002240624193 is a deficient number, since it is larger than the sum of its proper divisors (1).

22002240624193 is an equidigital number, since it uses as much as digits as its factorization.

22002240624193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 22002240624193 in words is "twenty-two trillion, two billion, two hundred forty million, six hundred twenty-four thousand, one hundred ninety-three".