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223312202000233 is a prime number
BaseRepresentation
bin110010110001100111101100…
…011110010110011101101001
31002021200102211022111200222221
4302301213230132112131221
5213232221342203001413
62110540113115314041
765015526353660653
oct6261475436263551
91067612738450887
10223312202000233
116517719a323775
122106749874b921
13977b333b70798
143d2052267b6d3
151ac3ce219a68d
hexcb19ec796769

223312202000233 has 2 divisors, whose sum is σ = 223312202000234. Its totient is φ = 223312202000232.

The previous prime is 223312202000197. The next prime is 223312202000243. The reversal of 223312202000233 is 332000202213322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 156851277344784 + 66460924655449 = 12524028^2 + 8152357^2 .

It is a cyclic number.

It is not a de Polignac number, because 223312202000233 - 229 = 223311665129321 is a prime.

It is a super-3 number, since 3×2233122020002333 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 223312202000198 and 223312202000207.

It is not a weakly prime, because it can be changed into another prime (223312202000243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111656101000116 + 111656101000117.

It is an arithmetic number, because the mean of its divisors is an integer number (111656101000117).

Almost surely, 2223312202000233 is an apocalyptic number.

It is an amenable number.

223312202000233 is a deficient number, since it is larger than the sum of its proper divisors (1).

223312202000233 is an equidigital number, since it uses as much as digits as its factorization.

223312202000233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 223312202000233 its reverse (332000202213322), we get a palindrome (555312404213555).

The spelling of 223312202000233 in words is "two hundred twenty-three trillion, three hundred twelve billion, two hundred two million, two hundred thirty-three", and thus it is an aban number.