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223250723660641 is a prime number
BaseRepresentation
bin110010110000101110011100…
…000101000110001101100001
31002021110120010210011110120111
4302300232130011012031201
5213230214440224120031
62110451544441211321
765011222023501205
oct6260563405061541
91067416123143514
10223250723660641
1165153111410256
122105759b790b41
1397755b7066451
143d1b56d722b05
151ac23e4c7b1b1
hexcb0b9c146361

223250723660641 has 2 divisors, whose sum is σ = 223250723660642. Its totient is φ = 223250723660640.

The previous prime is 223250723660603. The next prime is 223250723660663. The reversal of 223250723660641 is 146066327052322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 150014851283025 + 73235872377616 = 12248055^2 + 8557796^2 .

It is a cyclic number.

It is not a de Polignac number, because 223250723660641 - 225 = 223250690106209 is a prime.

It is a super-3 number, since 3×2232507236606413 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (223250723664641) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111625361830320 + 111625361830321.

It is an arithmetic number, because the mean of its divisors is an integer number (111625361830321).

Almost surely, 2223250723660641 is an apocalyptic number.

It is an amenable number.

223250723660641 is a deficient number, since it is larger than the sum of its proper divisors (1).

223250723660641 is an equidigital number, since it uses as much as digits as its factorization.

223250723660641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4354560, while the sum is 49.

The spelling of 223250723660641 in words is "two hundred twenty-three trillion, two hundred fifty billion, seven hundred twenty-three million, six hundred sixty thousand, six hundred forty-one".