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3223321020 = 2233517933347
BaseRepresentation
bin1100000000011111…
…1111100110111100
322022122020200012000
43000013333212330
523100132233040
61251502542300
7142606530243
oct30007774674
98278220160
103223321020
111404531877
1275b597990
133c4a4575a
1422813995a
1513cea8130
hexc01ff9bc

3223321020 has 96 divisors (see below), whose sum is σ = 10084435200. Its totient is φ = 854724672.

The previous prime is 3223321001. The next prime is 3223321021. The reversal of 3223321020 is 201233223.

It is a happy number.

3223321020 is a `hidden beast` number, since 322 + 3 + 321 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3223320984 and 3223321002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223321021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79987 + ... + 113333.

It is an arithmetic number, because the mean of its divisors is an integer number (105046200).

Almost surely, 23223321020 is an apocalyptic number.

3223321020 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 3223321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5042217600).

3223321020 is an abundant number, since it is smaller than the sum of its proper divisors (6861114180).

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

3223321020 is a wasteful number, since it uses less digits than its factorization.

3223321020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33544 (or 33536 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3223321020 is about 56774.2989388685. The cubic root of 3223321020 is about 1477.1837453445.

Adding to 3223321020 its reverse (201233223), we get a palindrome (3424554243).

The spelling of 3223321020 in words is "three billion, two hundred twenty-three million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 179 180 270 358 537 540 716 895 1074 1611 1790 2148 2685 3222 3580 4833 5370 6444 8055 9666 10740 16110 19332 24165 32220 33347 48330 66694 96660 100041 133388 166735 200082 300123 333470 400164 500205 600246 666940 900369 1000410 1200492 1500615 1800738 2000820 3001230 3601476 4501845 5969113 6002460 9003690 11938226 17907339 18007380 23876452 29845565 35814678 53722017 59691130 71629356 89536695 107444034 119382260 161166051 179073390 214888068 268610085 322332102 358146780 537220170 644664204 805830255 1074440340 1611660510 3223321020