Search a number
-
+
223665406342256 = 24177111581680113
BaseRepresentation
bin110010110110110000101001…
…000101111111010001110000
31002022221012111201210100021002
4302312300221011333101300
5213304013223010423011
62111410245202221132
765053202163232154
oct6266605105772160
91068835451710232
10223665406342256
11652a2a69a3166a
1221103a300547a8
1397a573256b078
143d3366b909064
151acd0b56a8c3b
hexcb6c2917f470

223665406342256 has 40 divisors (see below), whose sum is σ = 465305580260064. Its totient is φ = 103771853803520.

The previous prime is 223665406342247. The next prime is 223665406342331. The reversal of 223665406342256 is 652243604566322.

223665406342256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2236654063422562 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5790820745 + ... + 5790859368.

Almost surely, 2223665406342256 is an apocalyptic number.

It is an amenable number.

223665406342256 is an abundant number, since it is smaller than the sum of its proper divisors (241640173917808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223665406342256 is a wasteful number, since it uses less digits than its factorization.

223665406342256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11581680209 (or 11581680203 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 56.

The spelling of 223665406342256 in words is "two hundred twenty-three trillion, six hundred sixty-five billion, four hundred six million, three hundred forty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 71 136 142 272 284 568 1136 1207 2414 4828 9656 19312 11581680113 23163360226 46326720452 92653440904 185306881808 196888561921 393777123842 787554247684 822299288023 1575108495368 1644598576046 3150216990736 3289197152092 6578394304184 13156788608368 13979087896391 27958175792782 55916351585564 111832703171128 223665406342256