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233013221322 = 23753873711981
BaseRepresentation
bin1101100100000010101…
…0111001011111001010
3211021110002111002110020
43121000222321133022
512304202341040242
6255013402001310
722556166462450
oct3310052713712
9737402432406
10233013221322
118a902985a92
12391ab7a6236
1318c85a4766b
14b3c67b49d0
1560db8a46ec
hex3640ab97ca

233013221322 has 64 divisors (see below), whose sum is σ = 542758143744. Its totient is φ = 65306142720.

The previous prime is 233013221317. The next prime is 233013221333. The reversal of 233013221322 is 223122310332.

233013221322 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 2×2330132213222 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233013221292 and 233013221301.

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 31 ways as a sum of consecutive naturals, for example, 19442572 + ... + 19454552.

It is an arithmetic number, because the mean of its divisors is an integer number (8480595996).

Almost surely, 2233013221322 is an apocalyptic number.

233013221322 is an abundant number, since it is smaller than the sum of its proper divisors (309744922422).

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

233013221322 is a wasteful number, since it uses less digits than its factorization.

233013221322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20783.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 233013221322 its reverse (223122310332), we get a palindrome (456135531654).

The spelling of 233013221322 in words is "two hundred thirty-three billion, thirteen million, two hundred twenty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 318 371 742 1113 2226 8737 11981 17474 23962 26211 35943 52422 61159 71886 83867 122318 167734 183477 251601 366954 463061 503202 634993 926122 1269986 1389183 1904979 2778366 3241427 3809958 4444951 6482854 8889902 9724281 13334853 19448562 26669706 104677997 209355994 314033991 628067982 732745979 1465491958 2198237937 4396475874 5547933841 11095867682 16643801523 33287603046 38835536887 77671073774 116506610661 233013221322