Search a number
-
+
2202221002100 = 225279740737963
BaseRepresentation
bin100000000010111110100…
…110011011110101110100
321210112022120100010120112
4200002332212123311310
5242040122034031400
64403404130522152
7315051042442610
oct40027646336564
97715276303515
102202221002100
11779a58386809
122b697b436358
1312c88ca59472
1478833918340
153c44141b835
hex200be99bd74

2202221002100 has 144 divisors (see below), whose sum is σ = 5519860123008. Its totient is φ = 746985922560.

The previous prime is 2202221002099. The next prime is 2202221002193. The reversal of 2202221002100 is 12001222022.

2202221002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276552719 + ... + 276560681.

Almost surely, 22202221002100 is an apocalyptic number.

2202221002100 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 2202221002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759930061504).

2202221002100 is an abundant number, since it is smaller than the sum of its proper divisors (3317639120908).

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

2202221002100 is a wasteful number, since it uses less digits than its factorization.

2202221002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12154 (or 12147 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2202221002100 its reverse (12001222022), we get a palindrome (2214222224122).

The spelling of 2202221002100 in words is "two trillion, two hundred two billion, two hundred twenty-one million, two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 97 100 140 175 194 350 388 485 679 700 970 1358 1940 2425 2716 3395 4073 4850 6790 7963 8146 9700 13580 15926 16292 16975 20365 28511 31852 33950 39815 40730 55741 57022 67900 79630 81460 101825 111482 114044 142555 159260 199075 203650 222964 278705 285110 395081 398150 407300 557410 570220 712775 772411 790162 796300 1114820 1393525 1425550 1544822 1580324 1975405 2765567 2787050 2851100 3089644 3862055 3950810 5406877 5531134 5574100 7724110 7901620 9877025 10813754 11062268 13827835 15448220 19310275 19754050 21627508 27034385 27655670 32433299 38620550 39508100 54068770 55311340 64866598 69139175 77241100 108137540 129733196 135171925 138278350 162166495 227033093 270343850 276556700 324332990 454066186 540687700 648665980 810832475 908132372 1135165465 1621664950 2270330930 3146030003 3243329900 4540661860 5675827325 6292060006 11351654650 12584120012 15730150015 22022210021 22703309300 31460300030 44044420042 62920600060 78650750075 88088840084 110111050105 157301500150 220222100210 314603000300 440444200420 550555250525 1101110501050 2202221002100