Search a number
-
+
333221121200232 = 2334514230125309
BaseRepresentation
bin100101111000100000001011…
…0100011111001000001101000
31121200211121221212110110010000
41023301000112203321001220
5322133443324011401412
63140411400401423000
7130121301006465546
oct11361002643710150
91550747855413100
10333221121200232
11971a1313951831
123145859b33aa60
13113c1803432235
145c3ddb9d3cd96
15287cca56de4dc
hex12f10168f9068

333221121200232 has 40 divisors (see below), whose sum is σ = 933327677437650. Its totient is φ = 111073707066528.

The previous prime is 333221121200183. The next prime is 333221121200269. The reversal of 333221121200232 is 232002121122333.

333221121200232 is a `hidden beast` number, since 3 + 3 + 3 + 2 + 211 + 212 + 0 + 0 + 232 = 666.

It can be written as a sum of positive squares in only one way, i.e., 328162427484516 + 5058693715716 = 18115254^2 + 2249154^2 .

It is a super-2 number, since 2×3332211212002322 (a number of 30 digits) contains 22 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 = 333221121200196 and 333221121200205.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 257115062007 + ... + 257115063302.

Almost surely, 2333221121200232 is an apocalyptic number.

It is an amenable number.

333221121200232 is an abundant number, since it is smaller than the sum of its proper divisors (600106556237418).

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

333221121200232 is a wasteful number, since it uses less digits than its factorization.

333221121200232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514230125327 (or 514230125314 counting only the distinct ones).

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

Adding to 333221121200232 its reverse (232002121122333), we get a palindrome (565223242322565).

The spelling of 333221121200232 in words is "three hundred thirty-three trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 514230125309 1028460250618 1542690375927 2056920501236 3085380751854 4113841002472 4628071127781 6170761503708 9256142255562 12341523007416 13884213383343 18512284511124 27768426766686 37024569022248 41652640150029 55536853533372 83305280300058 111073707066744 166610560600116 333221121200232