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222202120993 is a prime number
BaseRepresentation
bin1100111011110001000…
…1110100101100100001
3210020112122111021211221
43032330101310230201
512120032220332433
6250024522335041
722024242602506
oct3167421645441
9706478437757
10222202120993
1186265339326
123709305a481
1317c51cbb988
14aa7ca374ad
155ba76ca72d
hex33bc474b21

222202120993 has 2 divisors, whose sum is σ = 222202120994. Its totient is φ = 222202120992.

The previous prime is 222202120991. The next prime is 222202121003. The reversal of 222202120993 is 399021202222.

222202120993 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., 215845726464 + 6356394529 = 464592^2 + 79727^2 .

It is a cyclic number.

It is not a de Polignac number, because 222202120993 - 21 = 222202120991 is a prime.

It is a super-2 number, since 2×2222021209932 (a number of 23 digits) contains 22 as substring.

Together with 222202120991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (222202120991) 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, 111101060496 + 111101060497.

It is an arithmetic number, because the mean of its divisors is an integer number (111101060497).

Almost surely, 2222202120993 is an apocalyptic number.

It is an amenable number.

222202120993 is a deficient number, since it is larger than the sum of its proper divisors (1).

222202120993 is an equidigital number, since it uses as much as digits as its factorization.

222202120993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 222202120993 in words is "two hundred twenty-two billion, two hundred two million, one hundred twenty thousand, nine hundred ninety-three".