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221854998857 is a prime number
BaseRepresentation
bin1100111010011110010…
…1101010000101001001
3210012122110022122210112
43032213211222011021
512113324334430412
6245530242324105
722012526242562
oct3164745520511
9705573278715
10221854998857
11860a73aa328
1236bb6959635
1317bc810266b
14aa488b9169
155b86eae722
hex33a796a149

221854998857 has 2 divisors, whose sum is σ = 221854998858. Its totient is φ = 221854998856.

The previous prime is 221854998823. The next prime is 221854998917. The reversal of 221854998857 is 758899458122.

It is a happy number.

221854998857 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 198113119801 + 23741879056 = 445099^2 + 154084^2 .

It is a cyclic number.

It is not a de Polignac number, because 221854998857 - 226 = 221787889993 is a prime.

It is not a weakly prime, because it can be changed into another prime (221854992857) 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, 110927499428 + 110927499429.

It is an arithmetic number, because the mean of its divisors is an integer number (110927499429).

Almost surely, 2221854998857 is an apocalyptic number.

It is an amenable number.

221854998857 is a deficient number, since it is larger than the sum of its proper divisors (1).

221854998857 is an equidigital number, since it uses as much as digits as its factorization.

221854998857 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 116121600, while the sum is 68.

The spelling of 221854998857 in words is "two hundred twenty-one billion, eight hundred fifty-four million, nine hundred ninety-eight thousand, eight hundred fifty-seven".