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3112220232 = 2334111373187
BaseRepresentation
bin1011100110000000…
…1011011001001000
322000220012011120000
42321200023121020
522333212021412
61232453403000
7140060302242
oct27140133110
98026164500
103112220232
111357849140
1272a339460
133a7a16344
14217499092
1513335e4dc
hexb980b648

3112220232 has 160 divisors (see below), whose sum is σ = 9581980320. Its totient is φ = 935919360.

The previous prime is 3112220179. The next prime is 3112220281. The reversal of 3112220232 is 2320222113.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 974943 + ... + 978129.

It is an arithmetic number, because the mean of its divisors is an integer number (59887377).

Almost surely, 23112220232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3112220232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790990160).

3112220232 is an abundant number, since it is smaller than the sum of its proper divisors (6469760088).

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

3112220232 is a wasteful number, since it uses less digits than its factorization.

3112220232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3112220232 is about 55787.2766139377. The cubic root of 3112220232 is about 1460.0131718334.

Adding to 3112220232 its reverse (2320222113), we get a palindrome (5432442345).

The spelling of 3112220232 in words is "three billion, one hundred twelve million, two hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 137 162 198 216 264 274 297 324 396 411 548 594 648 792 822 891 1096 1188 1233 1507 1644 1782 2376 2466 3014 3187 3288 3564 3699 4521 4932 6028 6374 7128 7398 9042 9561 9864 11097 12056 12748 13563 14796 18084 19122 22194 25496 27126 28683 29592 35057 36168 38244 40689 44388 54252 57366 70114 76488 81378 86049 88776 105171 108504 114732 122067 140228 162756 172098 210342 229464 244134 258147 280456 315513 325512 344196 420684 436619 488268 516294 631026 688392 841368 873238 946539 976536 1032588 1262052 1309857 1746476 1893078 2065176 2524104 2619714 2839617 3492952 3786156 3929571 4802809 5239428 5679234 7572312 7859142 9605618 10478856 11358468 11788713 14408427 15718284 19211236 22716936 23577426 28816854 31436568 35366139 38422472 43225281 47154852 57633708 70732278 86450562 94309704 115267416 129675843 141464556 172901124 259351686 282929112 345802248 389027529 518703372 778055058 1037406744 1556110116 3112220232