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220002321 = 3711317463
BaseRepresentation
bin11010001110011…
…11100000010001
3120022222021110010
431013033200101
5422310033241
633455225133
75310663120
oct1507174021
9508867403
10220002321
11103205000
12618181a9
133676b7b6
142130bab7
15144aad16
hexd1cf811

220002321 has 64 divisors (see below), whose sum is σ = 391274496. Its totient is φ = 107331840.

The previous prime is 220002301. The next prime is 220002331. The reversal of 220002321 is 123200022.

It is not a de Polignac number, because 220002321 - 27 = 220002193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 220002297 and 220002306.

It is not an unprimeable number, because it can be changed into a prime (220002301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 474936 + ... + 475398.

It is an arithmetic number, because the mean of its divisors is an integer number (6113664).

Almost surely, 2220002321 is an apocalyptic number.

220002321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220002321 is a deficient number, since it is larger than the sum of its proper divisors (171272175).

220002321 is a wasteful number, since it uses less digits than its factorization.

220002321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 220002321 is about 14832.4752148790. The cubic root of 220002321 is about 603.6831966174.

Adding to 220002321 its reverse (123200022), we get a palindrome (343202343).

The spelling of 220002321 in words is "two hundred twenty million, two thousand, three hundred twenty-one".

Divisors: 1 3 7 11 17 21 33 51 77 119 121 187 231 357 363 463 561 847 1309 1331 1389 2057 2541 3241 3927 3993 5093 6171 7871 9317 9723 14399 15279 22627 23613 27951 35651 43197 55097 56023 67881 86581 106953 158389 165291 168069 259743 392161 475167 606067 616253 952391 1176483 1818201 1848759 2857173 4313771 6666737 10476301 12941313 20000211 31428903 73334107 220002321