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232213223001 = 317192359176597
BaseRepresentation
bin1101100001000011111…
…1001001011001011001
3211012101100010222001210
43120100333021121121
512301033041114001
6254402143133333
722530313554024
oct3302077113131
9735340128053
10232213223001
118a532346451
12390078a4249
1318b89095486
14b34c44a1bb
15609152cdd6
hex3610fc9659

232213223001 has 64 divisors (see below), whose sum is σ = 366193612800. Its totient is φ = 129793821696.

The previous prime is 232213222981. The next prime is 232213223009. The reversal of 232213223001 is 100322312232.

It is a happy number.

232213223001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 232213223001 - 27 = 232213222873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (232213223009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1226635 + ... + 1403231.

It is an arithmetic number, because the mean of its divisors is an integer number (5721775200).

Almost surely, 2232213223001 is an apocalyptic number.

It is an amenable number.

232213223001 is a deficient number, since it is larger than the sum of its proper divisors (133980389799).

232213223001 is a wasteful number, since it uses less digits than its factorization.

232213223001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176718.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 232213223001 its reverse (100322312232), we get a palindrome (332535535233).

The spelling of 232213223001 in words is "two hundred thirty-two billion, two hundred thirteen million, two hundred twenty-three thousand, one".

Divisors: 1 3 17 19 23 51 57 59 69 177 323 391 437 969 1003 1121 1173 1311 1357 3009 3363 4071 7429 19057 22287 23069 25783 57171 69207 77349 176597 438311 529791 1314933 3002149 3355343 4061731 9006447 10066029 10419223 12185193 31257669 57040831 69049427 77172889 171122493 177126791 197965237 207148281 231518667 239642129 531380373 593895711 718926387 1311939113 3365409029 3935817339 4073916193 4553200451 10096227087 12221748579 13659601353 77404407667 232213223001