Search a number
-
+
3231322020 = 22325195317827
BaseRepresentation
bin1100000010011010…
…0000111110100100
322100012022011111100
43000212200332210
523104204301040
61252350240100
7143034532623
oct30046407644
98305264440
103231322020
111408aa7073
127621b6030
133c65b7484
1422921d6ba
1513da38b30
hexc09a0fa4

3231322020 has 144 divisors (see below), whose sum is σ = 10512815040. Its totient is φ = 800886528.

The previous prime is 3231322009. The next prime is 3231322037. The reversal of 3231322020 is 202231323.

It is a happy number.

3231322020 is a `hidden beast` number, since 323 + 1 + 322 + 0 + 20 = 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 = 3231321984 and 3231322002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172347 + ... + 190173.

It is an arithmetic number, because the mean of its divisors is an integer number (73005660).

Almost surely, 23231322020 is an apocalyptic number.

3231322020 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 3231322020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256407520).

3231322020 is an abundant number, since it is smaller than the sum of its proper divisors (7281493020).

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

3231322020 is a wasteful number, since it uses less digits than its factorization.

3231322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17914 (or 17909 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3231322020 is about 56844.7184881762. The cubic root of 3231322020 is about 1478.4049683679.

Adding to 3231322020 its reverse (202231323), we get a palindrome (3433553343).

The spelling of 3231322020 in words is "three billion, two hundred thirty-one million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 53 57 60 76 90 95 106 114 159 171 180 190 212 228 265 285 318 342 380 477 530 570 636 684 795 855 954 1007 1060 1140 1590 1710 1908 2014 2385 3021 3180 3420 4028 4770 5035 6042 9063 9540 10070 12084 15105 17827 18126 20140 30210 35654 36252 45315 53481 60420 71308 89135 90630 106962 160443 178270 181260 213924 267405 320886 338713 356540 534810 641772 677426 802215 944831 1016139 1069620 1354852 1604430 1693565 1889662 2032278 2834493 3048417 3208860 3387130 3779324 4064556 4724155 5080695 5668986 6096834 6774260 8503479 9448310 10161390 11337972 12193668 14172465 15242085 17006958 17951789 18896620 20322780 28344930 30484170 34013916 35903578 42517395 53855367 56689860 60968340 71807156 85034790 89758945 107710734 161566101 170069580 179517890 215421468 269276835 323132202 359035780 538553670 646264404 807830505 1077107340 1615661010 3231322020