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3220133320 = 2352912172281
BaseRepresentation
bin1011111111101111…
…0101010111001000
322022102020201111001
42333323311113020
523043323231240
61251310344344
7142540452535
oct27773652710
98272221431
103220133320
111402754908
1275a4bb0b4
133c419a841
14227949d8c
1513ca7889a
hexbfef55c8

3220133320 has 64 divisors (see below), whose sum is σ = 7504585200. Its totient is φ = 1242071040.

The previous prime is 3220133311. The next prime is 3220133333. The reversal of 3220133320 is 233310223.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1317254436 + 1902878884 = 36294^2 + 43622^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1410580 + ... + 1412860.

Almost surely, 23220133320 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 3220133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752292600).

3220133320 is an abundant number, since it is smaller than the sum of its proper divisors (4284451880).

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

3220133320 is a wasteful number, since it uses less digits than its factorization.

3220133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

The square root of 3220133320 is about 56746.2185524287. The cubic root of 3220133320 is about 1476.6966316182.

Adding to 3220133320 its reverse (233310223), we get a palindrome (3453443543).

The spelling of 3220133320 in words is "three billion, two hundred twenty million, one hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1217 2281 2434 4562 4868 6085 9124 9736 11405 12170 18248 22810 24340 35293 45620 48680 66149 70586 91240 132298 141172 176465 264596 282344 330745 352930 529192 661490 705860 1322980 1411720 2645960 2775977 5551954 11103908 13879885 22207816 27759770 55519540 80503333 111039080 161006666 322013332 402516665 644026664 805033330 1610066660 3220133320