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22320030330 = 2345133895449
BaseRepresentation
bin10100110010011000…
…001010001001111010
32010121112002000120000
4110302120022021322
5331202411432310
614130443413430
71420053061503
oct246230121172
963545060500
1022320030330
119514091164
1243aab24276
132149243c50
14111a489baa
158a97974c0
hex53260a27a

22320030330 has 160 divisors (see below), whose sum is σ = 64810746000. Its totient is φ = 5479031808.

The previous prime is 22320030329. The next prime is 22320030347. The reversal of 22320030330 is 3303002322.

It can be written as a sum of positive squares in 8 ways, for example, as 505035729 + 21814994601 = 22473^2 + 147699^2 .

It is a super-3 number, since 3×223200303303 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4093446 + ... + 4098894.

Almost surely, 222320030330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22320030330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32405373000).

22320030330 is an abundant number, since it is smaller than the sum of its proper divisors (42490715670).

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

22320030330 is a wasteful number, since it uses less digits than its factorization.

22320030330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5870 (or 5861 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 22320030330 its reverse (3303002322), we get a palindrome (25623032652).

The spelling of 22320030330 in words is "twenty-two billion, three hundred twenty million, thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 389 390 405 585 702 778 810 1053 1167 1170 1755 1945 2106 2334 3501 3510 3890 5057 5265 5449 5835 7002 10114 10503 10530 10898 11670 15171 16347 17505 21006 25285 27245 30342 31509 32694 35010 45513 49041 50570 52515 54490 63018 70837 75855 81735 91026 98082 105030 136539 141674 147123 151710 157545 163470 212511 227565 245205 273078 294246 315090 354185 409617 425022 441369 455130 490410 637533 682695 708370 735615 819234 882738 1062555 1275066 1365390 1471230 1912599 2048085 2119661 2125110 2206845 3187665 3825198 4096170 4239322 4413690 5737797 6358983 6375330 9562995 10598305 11475594 12717966 19076949 19125990 21196610 27555593 28688985 31794915 38153898 55111186 57230847 57377970 63589830 82666779 95384745 114461694 137777965 165333558 171692541 190769490 248000337 275555930 286154235 343385082 413333895 496000674 572308470 744001011 826667790 858462705 1240001685 1488002022 1716925410 2232003033 2480003370 3720005055 4464006066 7440010110 11160015165 22320030330