Search a number
-
+
203202222330 = 235671031079173
BaseRepresentation
bin1011110100111111001…
…0111101100011111010
3201102111111211102201110
42331033302331203322
511312124232103310
6233203320501150
720452353251112
oct2751762754372
9642444742643
10203202222330
11791a53a2238
123347001a7b6
13162148883a3
149b994c8042
155444660d20
hex2f4fcbd8fa

203202222330 has 128 divisors (see below), whose sum is σ = 504495433728. Its totient is φ = 52360526592.

The previous prime is 203202222323. The next prime is 203202222361. The reversal of 203202222330 is 33222202302.

It is a super-3 number, since 3×2032022223303 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 203202222297 and 203202222306.

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, 22147624 + ... + 22156796.

It is an arithmetic number, because the mean of its divisors is an integer number (3941370576).

Almost surely, 2203202222330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203202222330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252247716864).

203202222330 is an abundant number, since it is smaller than the sum of its proper divisors (301293211398).

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

203202222330 is a wasteful number, since it uses less digits than its factorization.

203202222330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9460.

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 203202222330 its reverse (33222202302), we get a palindrome (236424424632).

The spelling of 203202222330 in words is "two hundred three billion, two hundred two million, two hundred twenty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 67 103 107 134 201 206 214 309 321 335 402 515 535 618 642 670 1005 1030 1070 1545 1605 2010 3090 3210 6901 7169 9173 11021 13802 14338 18346 20703 21507 22042 27519 33063 34505 35845 41406 43014 45865 55038 55105 66126 69010 71690 91730 103515 107535 110210 137595 165315 207030 215070 275190 330630 614591 738407 944819 981511 1229182 1476814 1843773 1889638 1963022 2215221 2834457 2944533 3072955 3687546 3692035 4430442 4724095 4907555 5668914 5889066 6145910 7384070 9218865 9448190 9815110 11076105 14172285 14722665 18437730 22152210 28344570 29445330 63302873 65761237 101095633 126605746 131522474 189908619 197283711 202191266 303286899 316514365 328806185 379817238 394567422 505478165 606573798 633028730 657612370 949543095 986418555 1010956330 1516434495 1899086190 1972837110 3032868990 6773407411 13546814822 20320222233 33867037055 40640444466 67734074110 101601111165 203202222330