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3220031320 = 23511103227313
BaseRepresentation
bin1011111111101101…
…1100011101011000
322022102001112120021
42333323130131120
523043312000240
61251304240224
7142536546262
oct27773343530
98272045507
103220031320
111402695210
1275a470074
133c416329c
14227920b32
1513ca5854a
hexbfedc758

3220031320 has 128 divisors (see below), whose sum is σ = 8041213440. Its totient is φ = 1150755840.

The previous prime is 3220031317. The next prime is 3220031329. The reversal of 3220031320 is 231300223.

It is a junction number, because it is equal to n+sod(n) for n = 3220031294 and 3220031303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3220031329) 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, 10287484 + ... + 10287796.

It is an arithmetic number, because the mean of its divisors is an integer number (62821980).

Almost surely, 23220031320 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 3220031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020606720).

3220031320 is an abundant number, since it is smaller than the sum of its proper divisors (4821182120).

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

3220031320 is a wasteful number, since it uses less digits than its factorization.

3220031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 661 counting only the distinct ones).

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

The square root of 3220031320 is about 56745.3198070114. The cubic root of 3220031320 is about 1476.6810396503.

Adding to 3220031320 its reverse (231300223), we get a palindrome (3451331543).

It can be divided in two parts, 322003 and 1320, that added together give a palindrome (323323).

The spelling of 3220031320 in words is "three billion, two hundred twenty million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 103 110 206 220 227 313 412 440 454 515 626 824 908 1030 1133 1135 1252 1565 1816 2060 2266 2270 2497 2504 3130 3443 4120 4532 4540 4994 5665 6260 6886 9064 9080 9988 11330 12485 12520 13772 17215 19976 22660 23381 24970 27544 32239 34430 45320 46762 49940 64478 68860 71051 93524 99880 116905 128956 137720 142102 161195 187048 233810 257191 257912 284204 322390 354629 355255 467620 514382 568408 644780 709258 710510 781561 935240 1028764 1285955 1289560 1418516 1421020 1563122 1773145 2057528 2571910 2837032 2842040 3126244 3546290 3907805 5143820 6252488 7092580 7318253 7815610 10287640 14185160 14636506 15631220 29273012 31262440 36591265 58546024 73182530 80500783 146365060 161001566 292730120 322003132 402503915 644006264 805007830 1610015660 3220031320