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223220652992137 is a prime number
BaseRepresentation
bin110010110000010010011011…
…101110100110011010001001
31002021100200112002220020020101
4302300102123232212122021
5213224221344131222022
62110430052522325401
765006105605152553
oct6260223356463211
91067320462806211
10223220652992137
11651413902999a9
12210517a9059861
13977280415a488
143d19d19b604d3
151ac1734d43627
hexcb049bba6689

223220652992137 has 2 divisors, whose sum is σ = 223220652992138. Its totient is φ = 223220652992136.

The previous prime is 223220652992107. The next prime is 223220652992167. The reversal of 223220652992137 is 731299256022322.

It is a balanced prime because it is at equal distance from previous prime (223220652992107) and next prime (223220652992167).

It can be written as a sum of positive squares in only one way, i.e., 218499719173696 + 4720933818441 = 14781736^2 + 2172771^2 .

It is a cyclic number.

It is not a de Polignac number, because 223220652992137 - 235 = 223186293253769 is a prime.

It is a super-3 number, since 3×2232206529921373 (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223220652992107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111610326496068 + 111610326496069.

It is an arithmetic number, because the mean of its divisors is an integer number (111610326496069).

Almost surely, 2223220652992137 is an apocalyptic number.

It is an amenable number.

223220652992137 is a deficient number, since it is larger than the sum of its proper divisors (1).

223220652992137 is an equidigital number, since it uses as much as digits as its factorization.

223220652992137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9797760, while the sum is 55.

The spelling of 223220652992137 in words is "two hundred twenty-three trillion, two hundred twenty billion, six hundred fifty-two million, nine hundred ninety-two thousand, one hundred thirty-seven".