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3201033220 = 2257112233811
BaseRepresentation
bin1011111011001011…
…1110010000000100
322021002022100001221
42332302332100010
523023431030340
61245345130124
7142216222240
oct27662762004
98232270057
103201033220
1113a2999700
12754029944
133c0240bc8
142251b7420
1513b05444a
hexbecbe404

3201033220 has 144 divisors (see below), whose sum is σ = 8491077504. Its totient is φ = 992217600.

The previous prime is 3201033181. The next prime is 3201033223. The reversal of 3201033220 is 223301023.

3201033220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×32010332202 = 20493227351087136800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3201033194 and 3201033203.

It is not an unprimeable number, because it can be changed into a prime (3201033223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3946615 + ... + 3947425.

It is an arithmetic number, because the mean of its divisors is an integer number (58965816).

Almost surely, 23201033220 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 3201033220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245538752).

3201033220 is an abundant number, since it is smaller than the sum of its proper divisors (5290044284).

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

3201033220 is a wasteful number, since it uses less digits than its factorization.

3201033220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3201033220 is about 56577.6742187234. The cubic root of 3201033220 is about 1473.7711830155.

Adding to 3201033220 its reverse (223301023), we get a palindrome (3424334243).

It can be divided in two parts, 320103 and 3220, that added together give a palindrome (323323).

The spelling of 3201033220 in words is "three billion, two hundred one million, thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 121 140 154 220 233 242 308 385 466 484 605 770 811 847 932 1165 1210 1540 1622 1631 1694 2330 2420 2563 3244 3262 3388 4055 4235 4660 5126 5677 6524 8110 8155 8470 8921 10252 11354 12815 16220 16310 16940 17842 17941 22708 25630 28193 28385 32620 35684 35882 44605 51260 56386 56770 62447 71764 89210 89705 98131 112772 113540 124894 140965 178420 179410 188963 196262 197351 249788 281930 312235 358820 377926 392524 394702 490655 563860 624470 686917 755852 789404 944815 981310 986755 1248940 1322741 1373834 1889630 1962620 1973510 2078593 2645482 2747668 3434585 3779260 3947020 4157186 5290964 6613705 6869170 8314372 10392965 13227410 13738340 14550151 20785930 22864523 26454820 29100302 41571860 45729046 58200604 72750755 91458092 114322615 145501510 160051661 228645230 291003020 320103322 457290460 640206644 800258305 1600516610 3201033220