Search a number
-
+
223230120213132 = 223319108786608291
BaseRepresentation
bin110010110000011011010000…
…000001001011101010001100
31002021101120221220010212222000
4302300123100001023222030
5213224400241233310012
62110434300153552300
765006562323206134
oct6260332001135214
91067346856125860
10223230120213132
11651453a929918a
12210535ab715690
1397736826569a6
143d1a577237ac4
151ac1adb060ddc
hexcb06d004ba8c

223230120213132 has 48 divisors (see below), whose sum is σ = 609205006435200. Its totient is φ = 70493722171920.

The previous prime is 223230120213091. The next prime is 223230120213181. The reversal of 223230120213132 is 231312021032322.

223230120213132 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 301 + 20 + 21 + 313 + 2 = 666.

It is a super-3 number, since 3×2232301202131323 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 223230120213096 and 223230120213105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54393302094 + ... + 54393306197.

It is an arithmetic number, because the mean of its divisors is an integer number (12691770967400).

Almost surely, 2223230120213132 is an apocalyptic number.

It is an amenable number.

223230120213132 is an abundant number, since it is smaller than the sum of its proper divisors (385974886222068).

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

223230120213132 is a wasteful number, since it uses less digits than its factorization.

223230120213132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108786608323 (or 108786608315 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 223230120213132 its reverse (231312021032322), we get a palindrome (454542141245454).

The spelling of 223230120213132 in words is "two hundred twenty-three trillion, two hundred thirty billion, one hundred twenty million, two hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 108786608291 217573216582 326359824873 435146433164 652719649746 979079474619 1305439299492 1958158949238 2066945557529 2937238423857 3916317898476 4133891115058 5874476847714 6200836672587 8267782230116 11748953695428 12401673345174 18602510017761 24803346690348 37205020035522 55807530053283 74410040071044 111615060106566 223230120213132