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3320444220 = 2235237133889
BaseRepresentation
bin1100010111101001…
…1111010100111100
322120102000001011120
43011322133110330
523300013203340
61305252350540
7145166211252
oct30572372474
98512001146
103320444220
111454338985
12788015450
1340bbbc9c2
14236dbc5d2
151467904d0
hexc5e9f53c

3320444220 has 96 divisors (see below), whose sum is σ = 9838402560. Its totient is φ = 835000320.

The previous prime is 3320444209. The next prime is 3320444221. The reversal of 3320444220 is 224440233.

It is a super-2 number, since 2×33204442202 = 22050699636262816800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320444221) 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 31 ways as a sum of consecutive naturals, for example, 81036 + ... + 114924.

It is an arithmetic number, because the mean of its divisors is an integer number (102483360).

Almost surely, 23320444220 is an apocalyptic number.

3320444220 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 3320444220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4919201280).

3320444220 is an abundant number, since it is smaller than the sum of its proper divisors (6517958340).

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

3320444220 is a wasteful number, since it uses less digits than its factorization.

3320444220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33995 (or 33993 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3320444220 is about 57623.2958099413. The cubic root of 3320444220 is about 1491.8737174106.

Adding to 3320444220 its reverse (224440233), we get a palindrome (3544884453).

The spelling of 3320444220 in words is "three billion, three hundred twenty million, four hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 71 92 115 138 142 213 230 276 284 345 355 426 460 690 710 852 1065 1380 1420 1633 2130 3266 4260 4899 6532 8165 9798 16330 19596 24495 32660 33889 48990 67778 97980 101667 135556 169445 203334 338890 406668 508335 677780 779447 1016670 1558894 2033340 2338341 2406119 3117788 3897235 4676682 4812238 7218357 7794470 9353364 9624476 11691705 12030595 14436714 15588940 23383410 24061190 28873428 36091785 46766820 48122380 55340737 72183570 110681474 144367140 166022211 221362948 276703685 332044422 553407370 664088844 830111055 1106814740 1660222110 3320444220