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22102332330 = 235134710211181
BaseRepresentation
bin10100100101011001…
…101101001110101010
32010001100102211001010
4110211121231032222
5330231144113310
614053105404350
71411500503451
oct244531551652
963040384033
1022102332330
119412210461
12434a0396b6
132113101270
1410d95bbb98
158955e4320
hex52566d3aa

22102332330 has 128 divisors (see below), whose sum is σ = 58448065536. Its totient is φ = 5315097600.

The previous prime is 22102332323. The next prime is 22102332419. The reversal of 22102332330 is 3323320122.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22102332297 and 22102332306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18714340 + ... + 18715520.

It is an arithmetic number, because the mean of its divisors is an integer number (456625512).

Almost surely, 222102332330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22102332330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29224032768).

22102332330 is an abundant number, since it is smaller than the sum of its proper divisors (36345733206).

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

22102332330 is a wasteful number, since it uses less digits than its factorization.

22102332330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 22102332330 its reverse (3323320122), we get a palindrome (25425652452).

The spelling of 22102332330 in words is "twenty-two billion, one hundred two million, three hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 47 65 78 94 130 141 195 235 282 390 470 611 705 1021 1181 1222 1410 1833 2042 2362 3055 3063 3543 3666 5105 5905 6110 6126 7086 9165 10210 11810 13273 15315 15353 17715 18330 26546 30630 30706 35430 39819 46059 47987 55507 66365 76765 79638 92118 95974 111014 132730 143961 153530 166521 199095 230295 239935 277535 287922 333042 398190 460590 479870 555070 623831 719805 721591 832605 1205801 1247662 1439610 1443182 1665210 1871493 2164773 2411602 3119155 3607955 3617403 3742986 4329546 6029005 6238310 7215910 7234806 9357465 10823865 12058010 15675413 18087015 18714930 21647730 31350826 36174030 47026239 56672647 78377065 94052478 113345294 156754130 170017941 235131195 283363235 340035882 470262390 566726470 736744411 850089705 1473488822 1700179410 2210233233 3683722055 4420466466 7367444110 11051166165 22102332330