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3223442460 = 2235726171777
BaseRepresentation
bin1100000000100001…
…1101010000011100
322022122110211202210
43000020131100130
523100200124320
61251505320420
7142610544300
oct30010352034
98278424683
103223442460
111404605037
1275b636110
133c4a88b04
1422816bd00
1513cece0e0
hexc021d41c

3223442460 has 144 divisors (see below), whose sum is σ = 10522147104. Its totient is φ = 735178752.

The previous prime is 3223442447. The next prime is 3223442483. The reversal of 3223442460 is 642443223.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1813092 + ... + 1814868.

It is an arithmetic number, because the mean of its divisors is an integer number (73070466).

Almost surely, 23223442460 is an apocalyptic number.

3223442460 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3223442460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5261073552).

3223442460 is an abundant number, since it is smaller than the sum of its proper divisors (7298704644).

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

3223442460 is a wasteful number, since it uses less digits than its factorization.

3223442460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 3223442460 is about 56775.3684268099. The cubic root of 3223442460 is about 1477.2022962883.

Adding to 3223442460 its reverse (642443223), we get a palindrome (3865885683).

The spelling of 3223442460 in words is "three billion, two hundred twenty-three million, four hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 617 735 980 1234 1470 1777 1851 2468 2940 3085 3554 3702 4319 5331 6170 7108 7404 8638 8885 9255 10662 12340 12439 12957 17276 17770 18510 21324 21595 24878 25914 26655 30233 35540 37020 37317 43190 49756 51828 53310 60466 62195 64785 74634 86380 87073 90699 106620 120932 124390 129570 149268 151165 174146 181398 186585 248780 259140 261219 302330 348292 362796 373170 435365 453495 522438 604660 746340 870730 906990 1044876 1096409 1306095 1741460 1813980 2192818 2612190 3289227 4385636 5224380 5482045 6578454 7674863 10964090 13156908 15349726 16446135 21928180 23024589 30699452 32892270 38374315 46049178 53724041 65784540 76748630 92098356 107448082 115122945 153497260 161172123 214896164 230245890 268620205 322344246 460491780 537240410 644688492 805860615 1074480820 1611721230 3223442460