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3220220304 = 2432723313711
BaseRepresentation
bin1011111111110000…
…1010100110010000
322022102102010210200
42333330022212100
523043334022204
61251312255200
7142541264250
oct27774124620
98272363720
103220220304
1114028041a4
1275a541500
133c41cb302
1422796d960
1513ca94539
hexbff0a990

3220220304 has 120 divisors (see below), whose sum is σ = 10344552192. Its totient is φ = 916047360.

The previous prime is 3220220299. The next prime is 3220220321. The reversal of 3220220304 is 4030220223.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228009 + ... + 241719.

Almost surely, 23220220304 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 3220220304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5172276096).

3220220304 is an abundant number, since it is smaller than the sum of its proper divisors (7124331888).

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

3220220304 is a wasteful number, since it uses less digits than its factorization.

3220220304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13965 (or 13956 counting only the distinct ones).

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

The square root of 3220220304 is about 56746.9849771774. The cubic root of 3220220304 is about 1476.7099279438.

Adding to 3220220304 its reverse (4030220223), we get a palindrome (7250440527).

The spelling of 3220220304 in words is "three billion, two hundred twenty million, two hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 233 252 336 466 504 699 932 1008 1398 1631 1864 2097 2796 3262 3728 4194 4893 5592 6524 8388 9786 11184 13048 13711 14679 16776 19572 26096 27422 29358 33552 39144 41133 54844 58716 78288 82266 95977 109688 117432 123399 164532 191954 219376 234864 246798 287931 329064 383908 493596 575862 658128 767816 863793 987192 1151724 1535632 1727586 1974384 2303448 3194663 3455172 4606896 6389326 6910344 9583989 12778652 13820688 19167978 22362641 25557304 28751967 38335956 44725282 51114608 57503934 67087923 76671912 89450564 115007868 134175846 153343824 178901128 201263769 230015736 268351692 357802256 402527538 460031472 536703384 805055076 1073406768 1610110152 3220220304