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3300212220 = 22351915718439
BaseRepresentation
bin1100010010110101…
…0011110111111100
322111222221011002020
43010231103313330
523224323242340
61303251000140
7144532224654
oct30455236774
98458834066
103300212220
11144397a318
12781299050
13407957ac6
14234433364
15144ae59d0
hexc4b53dfc

3300212220 has 96 divisors (see below), whose sum is σ = 9789427200. Its totient is φ = 828382464.

The previous prime is 3300212213. The next prime is 3300212297. The reversal of 3300212220 is 222120033.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3300212220.

It is a congruent number.

It is an unprimeable number.

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, 169761 + ... + 188199.

It is an arithmetic number, because the mean of its divisors is an integer number (101973200).

Almost surely, 23300212220 is an apocalyptic number.

3300212220 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 3300212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4894713600).

3300212220 is an abundant number, since it is smaller than the sum of its proper divisors (6489214980).

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

3300212220 is a wasteful number, since it uses less digits than its factorization.

3300212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18627 (or 18625 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3300212220 is about 57447.4735736916. The cubic root of 3300212220 is about 1488.8374668469.

Adding to 3300212220 its reverse (222120033), we get a palindrome (3522332253).

The spelling of 3300212220 in words is "three billion, three hundred million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 157 190 228 285 314 380 471 570 628 785 942 1140 1570 1884 2355 2983 3140 4710 5966 8949 9420 11932 14915 17898 18439 29830 35796 36878 44745 55317 59660 73756 89490 92195 110634 178980 184390 221268 276585 350341 368780 553170 700682 1051023 1106340 1401364 1751705 2102046 2894923 3503410 4204092 5255115 5789846 7006820 8684769 10510230 11579692 14474615 17369538 21020460 28949230 34739076 43423845 55003537 57898460 86847690 110007074 165010611 173695380 220014148 275017685 330021222 550035370 660042444 825053055 1100070740 1650106110 3300212220