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3223220220 = 22325113743997
BaseRepresentation
bin1100000000011110…
…0110111111111100
322022122001112220200
43000013212333330
523100121021340
61251500443500
7142605630333
oct30007467774
98278045820
103223220220
111404473070
1275b549590
133c4a0b8cc
14228110d1a
1513ce88330
hexc01e6ffc

3223220220 has 144 divisors (see below), whose sum is σ = 10954446048. Its totient is φ = 760250880.

The previous prime is 3223220201. The next prime is 3223220269. The reversal of 3223220220 is 220223223.

3223220220 is a `hidden beast` number, since 3 + 223 + 220 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3223220193 and 3223220202.

It is a congruent number.

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, 51262 + ... + 95258.

It is an arithmetic number, because the mean of its divisors is an integer number (76072542).

Almost surely, 23223220220 is an apocalyptic number.

3223220220 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 3223220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5477223024).

3223220220 is an abundant number, since it is smaller than the sum of its proper divisors (7731225828).

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

3223220220 is a wasteful number, since it uses less digits than its factorization.

3223220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44060 (or 44055 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 3223220220 is about 56773.4112063033. The cubic root of 3223220220 is about 1477.1683469740.

Adding to 3223220220 its reverse (220223223), we get a palindrome (3443443443).

The spelling of 3223220220 in words is "three billion, two hundred twenty-three million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 24420 36630 43997 73260 87994 131991 175988 219985 263982 395973 439970 483967 527964 659955 791946 879940 967934 1319910 1451901 1583892 1627889 1935868 1979865 2419835 2639820 2903802 3255778 3959730 4355703 4839670 4883667 5807604 6511556 7259505 7919460 8139445 8711406 9679340 9767334 14519010 14651001 16278890 17422812 17906779 19534668 21778515 24418335 29038020 29302002 32557780 35813558 43557030 48836670 53720337 58604004 71627116 73255005 87114060 89533895 97673340 107440674 146510010 161161011 179067790 214881348 268601685 293020020 322322022 358135580 537203370 644644044 805805055 1074406740 1611610110 3223220220