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3228210640 = 245193419499
BaseRepresentation
bin1100000001101010…
…1001010111010000
322022222110002111001
43000122221113100
523102410220030
61252155431344
7142666223554
oct30032512720
98288402431
103228210640
111407271486
12761155554
133c5a68215
14228a4d864
1513d621cca
hexc06a95d0

3228210640 has 80 divisors (see below), whose sum is σ = 7577640000. Its totient is φ = 1278959616.

The previous prime is 3228210593. The next prime is 3228210659. The reversal of 3228210640 is 460128223.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3228210599 and 3228210608.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 6469111 + ... + 6469609.

It is an arithmetic number, because the mean of its divisors is an integer number (94720500).

Almost surely, 23228210640 is an apocalyptic number.

It is an amenable number.

3228210640 is an abundant number, since it is smaller than the sum of its proper divisors (4349429360).

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

3228210640 is a wasteful number, since it uses less digits than its factorization.

3228210640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 3228210640 is about 56817.3445349217. The cubic root of 3228210640 is about 1477.9303064192.

Adding to 3228210640 its reverse (460128223), we get a palindrome (3688338863).

The spelling of 3228210640 in words is "three billion, two hundred twenty-eight million, two hundred ten thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 419 499 772 838 965 998 1544 1676 1930 1996 2095 2495 3088 3352 3860 3992 4190 4990 6704 7720 7984 8380 9980 15440 16760 19960 33520 39920 80867 96307 161734 192614 209081 323468 385228 404335 418162 481535 646936 770456 808670 836324 963070 1045405 1293872 1540912 1617340 1672648 1926140 2090810 3234680 3345296 3852280 4181620 6469360 7704560 8363240 16726480 40352633 80705266 161410532 201763165 322821064 403526330 645642128 807052660 1614105320 3228210640