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22154166401 is a prime number
BaseRepresentation
bin10100101000011111…
…011100000010000001
32010011221222021000112
4110220133130002001
5330332431311101
614102200401105
71413000210263
oct245037340201
963157867015
1022154166401
1194394a4134
124363476195
132120a7c403
141102431b33
15899e326bb
hex5287dc081

22154166401 has 2 divisors, whose sum is σ = 22154166402. Its totient is φ = 22154166400.

The previous prime is 22154166323. The next prime is 22154166427. The reversal of 22154166401 is 10466145122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21822380176 + 331786225 = 147724^2 + 18215^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22154166401 is a prime.

It is not a weakly prime, because it can be changed into another prime (22154166451) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11077083200 + 11077083201.

It is an arithmetic number, because the mean of its divisors is an integer number (11077083201).

Almost surely, 222154166401 is an apocalyptic number.

It is an amenable number.

22154166401 is a deficient number, since it is larger than the sum of its proper divisors (1).

22154166401 is an equidigital number, since it uses as much as digits as its factorization.

22154166401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 22154166401 in words is "twenty-two billion, one hundred fifty-four million, one hundred sixty-six thousand, four hundred one".