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3220223820 = 2235112538369
BaseRepresentation
bin1011111111110000…
…1011011101001100
322022102102022121220
42333330023131030
523043334130240
61251312323340
7142541310432
oct27774133514
98272368556
103220223820
111402806900
1275a543550
133c41ccaa8
14227970d52
1513ca955d0
hexbff0b74c

3220223820 has 144 divisors (see below), whose sum is σ = 10099041120. Its totient is φ = 765839360.

The previous prime is 3220223807. The next prime is 3220223857. The reversal of 3220223820 is 283220223.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380596 + ... + 388964.

It is an arithmetic number, because the mean of its divisors is an integer number (70132230).

Almost surely, 23220223820 is an apocalyptic number.

3220223820 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 3220223820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5049520560).

3220223820 is an abundant number, since it is smaller than the sum of its proper divisors (6878817300).

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

3220223820 is a wasteful number, since it uses less digits than its factorization.

3220223820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8456 (or 8443 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3220223820 is about 56747.0159567884. The cubic root of 3220223820 is about 1476.7104653926.

The spelling of 3220223820 in words is "three billion, two hundred twenty million, two hundred twenty-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 53 55 60 66 106 110 121 132 159 165 212 220 242 265 318 330 363 484 530 583 605 636 660 726 795 1060 1166 1210 1452 1590 1749 1815 2332 2420 2915 3180 3498 3630 5830 6413 6996 7260 8369 8745 11660 12826 16738 17490 19239 25107 25652 32065 33476 34980 38478 41845 50214 64130 76956 83690 92059 96195 100428 125535 128260 167380 184118 192390 251070 276177 368236 384780 443557 460295 502140 552354 887114 920590 1012649 1104708 1330671 1380885 1774228 1841180 2025298 2217785 2661342 2761770 3037947 4050596 4435570 4879127 5063245 5322684 5523540 6075894 6653355 8871140 9758254 10126490 12151788 13306710 14637381 15189735 19516508 20252980 24395635 26613420 29274762 30379470 48791270 53670397 58549524 60758940 73186905 97582540 107340794 146373810 161011191 214681588 268351985 292747620 322022382 536703970 644044764 805055955 1073407940 1610111910 3220223820