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3220130320 = 2451159109569
BaseRepresentation
bin1011111111101111…
…0100101000010000
322022102020120100221
42333323310220100
523043323132240
61251310322424
7142540441021
oct27773645020
98272216327
103220130320
111402752630
1275a4b9414
133c4199374
14227948c48
1513ca77a4a
hexbfef4a10

3220130320 has 160 divisors (see below), whose sum is σ = 8396784000. Its totient is φ = 1138544640.

The previous prime is 3220130273. The next prime is 3220130359. The reversal of 3220130320 is 230310223.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3220130294 and 3220130303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5658996 + ... + 5659564.

It is an arithmetic number, because the mean of its divisors is an integer number (52479900).

Almost surely, 23220130320 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 3220130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198392000).

3220130320 is an abundant number, since it is smaller than the sum of its proper divisors (5176653680).

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

3220130320 is a wasteful number, since it uses less digits than its factorization.

3220130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3220130320 is about 56746.1921189431. The cubic root of 3220130320 is about 1476.6961730356.

Adding to 3220130320 its reverse (230310223), we get a palindrome (3450440543).

The spelling of 3220130320 in words is "three billion, two hundred twenty million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 109 110 118 176 218 220 236 295 436 440 472 545 569 590 649 872 880 944 1090 1138 1180 1199 1298 1744 2180 2276 2360 2398 2596 2845 3245 4360 4552 4720 4796 5192 5690 5995 6259 6431 6490 8720 9104 9592 10384 11380 11990 12518 12862 12980 19184 22760 23980 25036 25724 25960 31295 32155 33571 45520 47960 50072 51448 51920 62021 62590 64310 67142 70741 95920 100144 102896 124042 125180 128620 134284 141482 167855 248084 250360 257240 268568 282964 310105 335710 353705 369281 496168 500720 514480 537136 565928 620210 671420 682231 707410 738562 992336 1131856 1240420 1342840 1364462 1414820 1477124 1846405 2480840 2685680 2728924 2829640 2954248 3411155 3659239 3692810 4961680 5457848 5659280 5908496 6822310 7318478 7385620 10915696 13644620 14636956 14771240 18296195 27289240 29273912 29542480 36592390 40251629 54578480 58547824 73184780 80503258 146369560 161006516 201258145 292739120 322013032 402516290 644026064 805032580 1610065160 3220130320