Search a number
-
+
2201122302330 = 235717685789917
BaseRepresentation
bin100000000001111101000…
…111001110100101111010
321210102110222221101211110
4200001331013032211322
5242030344302133310
64403103121541150
7315011601603360
oct40017507164572
97712428841743
102201122302330
1177954417a376
122b67134a47b6
1312c746242563
147876ba37630
153c3c9c40d20
hex2007d1ce97a

2201122302330 has 128 divisors (see below), whose sum is σ = 6393506452992. Its totient is φ = 473444425728.

The previous prime is 2201122302329. The next prime is 2201122302349. The reversal of 2201122302330 is 332032211022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2201122302297 and 2201122302306.

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, 24434532 + ... + 24524448.

It is an arithmetic number, because the mean of its divisors is an integer number (49949269164).

Almost surely, 22201122302330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201122302330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196753226496).

2201122302330 is an abundant number, since it is smaller than the sum of its proper divisors (4192384150662).

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

2201122302330 is a wasteful number, since it uses less digits than its factorization.

2201122302330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96808.

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

Adding to 2201122302330 its reverse (332032211022), we get a palindrome (2533154513352).

The spelling of 2201122302330 in words is "two trillion, two hundred one billion, one hundred twenty-two million, three hundred two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1785 3570 6857 13714 20571 34285 41142 47999 68570 89917 95998 102855 116569 143997 179834 205710 233138 239995 269751 287994 349707 449585 479990 539502 582845 629419 699414 719985 815983 899170 1165690 1258838 1348755 1439970 1528589 1631966 1748535 1888257 2447949 2697510 3057178 3147095 3497070 3776514 4079915 4585767 4895898 6294190 7642945 8159830 9171534 9441285 10700123 12239745 15285890 18882570 21400246 22928835 24479490 32100369 45857670 53500615 64200738 107001230 160501845 321003690 616560869 1233121738 1849682607 3082804345 3699365214 4315926083 6165608690 8631852166 9248413035 10481534773 12947778249 18496826070 20963069546 21579630415 25895556498 31444604319 43159260830 52407673865 62889208638 64738891245 73370743411 104815347730 129477782490 146741486822 157223021595 220112230233 314446043190 366853717055 440224460466 733707434110 1100561151165 2201122302330