Search a number
-
+
2202202000020 = 22351118771777661
BaseRepresentation
bin100000000010111101011…
…101111100101010010100
321210112021020120201121210
4200002331131330222110
5242040102203000040
64403402211341420
7315050422101141
oct40027535745224
97715236521553
102202202000020
11779a48688210
122b6974bb1870
1312c888b35329
14788311ad3c8
153c43e916480
hex200bd77ca94

2202202000020 has 96 divisors (see below), whose sum is σ = 6730313659776. Its totient is φ = 533582425600.

The previous prime is 2202201999931. The next prime is 2202202000069. The reversal of 2202202000020 is 200002022022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349990 + ... + 2127650.

It is an arithmetic number, because the mean of its divisors is an integer number (70107433956).

Almost surely, 22202202000020 is an apocalyptic number.

2202202000020 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 2202202000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365156829888).

2202202000020 is an abundant number, since it is smaller than the sum of its proper divisors (4528111659756).

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

2202202000020 is a wasteful number, since it uses less digits than its factorization.

2202202000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779561 (or 1779559 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 2202202000020 its reverse (200002022022), we get a palindrome (2402204022042).

The spelling of 2202202000020 in words is "two trillion, two hundred two billion, two hundred two million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1877 3754 5631 7508 9385 11262 18770 20647 22524 28155 37540 41294 56310 61941 82588 103235 112620 123882 206470 247764 309705 412940 619410 1238820 1777661 3555322 5332983 7110644 8888305 10665966 17776610 19554271 21331932 26664915 35553220 39108542 53329830 58662813 78217084 97771355 106659660 117325626 195542710 234651252 293314065 391085420 586628130 1173256260 3336669697 6673339394 10010009091 13346678788 16683348485 20020018182 33366696970 36703366667 40040036364 50050045455 66733393940 73406733334 100100090910 110110100001 146813466668 183516833335 200200181820 220220200002 367033666670 440440400004 550550500005 734067333340 1101101000010 2202202000020