Search a number
-
+
223668275535216 = 24332018272565319
BaseRepresentation
bin110010110110110011010100…
…000111000101110101110000
31002022221110220200200110002000
4302312303110013011311300
5213304040112014111331
62111411442015054000
765053333243043211
oct6266632407056560
91068843820613060
10223668275535216
11652a4201579816
12211044b0b11300
1397a5a9bb13695
143d338609c1408
151acd1d25100e6
hexcb6cd41c5d70

223668275535216 has 80 divisors (see below), whose sum is σ = 642014222150400. Its totient is φ = 74555693376192.

The previous prime is 223668275535193. The next prime is 223668275535247. The reversal of 223668275535216 is 612535572866322.

It is a happy number.

223668275535216 is a `hidden beast` number, since 2 + 2 + 3 + 6 + 6 + 8 + 2 + 75 + 535 + 21 + 6 = 666.

223668275535216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85906605 + ... + 88471923.

It is an arithmetic number, because the mean of its divisors is an integer number (8025177776880).

Almost surely, 2223668275535216 is an apocalyptic number.

It is an amenable number.

223668275535216 is an abundant number, since it is smaller than the sum of its proper divisors (418345946615184).

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

223668275535216 is a wasteful number, since it uses less digits than its factorization.

223668275535216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767163 (or 2767151 counting only the distinct ones).

The product of its digits is 217728000, while the sum is 63.

The spelling of 223668275535216 in words is "two hundred twenty-three trillion, six hundred sixty-eight billion, two hundred seventy-five million, five hundred thirty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 201827 403654 605481 807308 1210962 1614616 1816443 2421924 2565319 3229232 3632886 4843848 5130638 5449329 7265772 7695957 9687696 10261276 10898658 14531544 15391914 20522552 21797316 23087871 29063088 30783828 41045104 43594632 46175742 61567656 69263613 87189264 92351484 123135312 138527226 184702968 277054452 369405936 554108904 1108217808 517750637813 1035501275626 1553251913439 2071002551252 3106503826878 4142005102504 4659755740317 6213007653756 8284010205008 9319511480634 12426015307512 13979267220951 18639022961268 24852030615024 27958534441902 37278045922536 55917068883804 74556091845072 111834137767608 223668275535216