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220221331320 = 233517349309317
BaseRepresentation
bin1100110100011000110…
…1101101011101111000
3210001102121021202020110
43031012031231131320
512102003130100240
6245100203224320
721624201300504
oct3150615553570
9701377252213
10220221331320
1185439222771
123681b8180a0
13179c780c493
14a93193d304
155add85ec80
hex334636d778

220221331320 has 128 divisors (see below), whose sum is σ = 701533224000. Its totient is φ = 55112687616.

The previous prime is 220221331313. The next prime is 220221331397. The reversal of 220221331320 is 23133122022.

It is a happy number.

It is a congruent number.

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, 557302 + ... + 866618.

Almost surely, 2220221331320 is an apocalyptic number.

220221331320 is a gapful number since it is divisible by the number (20) 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 220221331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350766612000).

220221331320 is an abundant number, since it is smaller than the sum of its proper divisors (481311892680).

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

220221331320 is a wasteful number, since it uses less digits than its factorization.

220221331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309697 (or 309693 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 220221331320 its reverse (23133122022), we get a palindrome (243354453342).

The spelling of 220221331320 in words is "two hundred twenty billion, two hundred twenty-one million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 349 408 510 680 698 1020 1047 1396 1745 2040 2094 2792 3490 4188 5235 5933 6980 8376 10470 11866 13960 17799 20940 23732 29665 35598 41880 47464 59330 71196 88995 118660 142392 177990 237320 309317 355980 618634 711960 927951 1237268 1546585 1855902 2474536 3093170 3711804 4639755 5258389 6186340 7423608 9279510 10516778 12372680 15775167 18559020 21033556 26291945 31550334 37118040 42067112 52583890 63100668 78875835 105167780 107951633 126201336 157751670 210335560 215903266 315503340 323854899 431806532 539758165 631006680 647709798 863613064 1079516330 1295419596 1619274495 1835177761 2159032660 2590839192 3238548990 3670355522 4318065320 5505533283 6477097980 7340711044 9175888805 11011066566 12954195960 14681422088 18351777610 22022133132 27527666415 36703555220 44044266264 55055332830 73407110440 110110665660 220221331320