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232220000322 = 232293727119363
BaseRepresentation
bin1101100001000101100…
…1000000000001000010
3211012101210220021210200
43120101121000001002
512301041310002242
6254402544310030
722530425302002
oct3302131000102
9735353807720
10232220000322
118a536155342
123900a012316
1318b8a5c921b
14b34d2d2002
156091e1b04c
hex3611640042

232220000322 has 48 divisors (see below), whose sum is σ = 520637120640. Its totient is φ = 74716792416.

The previous prime is 232220000317. The next prime is 232220000329. The reversal of 232220000322 is 223000022232.

232220000322 is a `hidden beast` number, since 2 + 322 + 20 + 0 + 0 + 0 + 322 = 666.

232220000322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2322200003222 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 232220000295 and 232220000304.

It is not an unprimeable number, because it can be changed into a prime (232220000329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1885813 + ... + 2005175.

It is an arithmetic number, because the mean of its divisors is an integer number (10846606680).

Almost surely, 2232220000322 is an apocalyptic number.

232220000322 is an abundant number, since it is smaller than the sum of its proper divisors (288417120318).

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

232220000322 is a wasteful number, since it uses less digits than its factorization.

232220000322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123127 (or 123124 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 232220000322 its reverse (223000022232), we get a palindrome (455220022554).

The spelling of 232220000322 in words is "two hundred thirty-two billion, two hundred twenty million, three hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 3727 7454 11181 22362 33543 67086 108083 119363 216166 238726 324249 358089 648498 716178 972747 1074267 1945494 2148534 3461527 6923054 10384581 20769162 31153743 62307486 444865901 889731802 1334597703 2669195406 4003793109 8007586218 12901111129 25802222258 38703333387 77406666774 116110000161 232220000322