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220102022022220 = 225132334357833887
BaseRepresentation
bin110010000010111001111110…
…110101100100010001001100
31001212022112210100112021111201
4302002321332311210101030
5212322122420114202340
62100041250101355244
764234563201250432
oct6202717665442114
91055275710467451
10220102022022220
116414981a424728
12208292b5a08b24
1395a76bac6a3b0
143c4cdcd690d52
151a6a55a92279a
hexc82e7ed6444c

220102022022220 has 96 divisors (see below), whose sum is σ = 500020872519168. Its totient is φ = 80900977969152.

The previous prime is 220102022022199. The next prime is 220102022022227. The reversal of 220102022022220 is 22220220201022.

It is not an unprimeable number, because it can be changed into a prime (220102022022227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263530117 + ... + 264364003.

It is an arithmetic number, because the mean of its divisors is an integer number (5208550755408).

Almost surely, 2220102022022220 is an apocalyptic number.

220102022022220 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 220102022022220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250010436259584).

220102022022220 is an abundant number, since it is smaller than the sum of its proper divisors (279918850496948).

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

220102022022220 is a wasteful number, since it uses less digits than its factorization.

220102022022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838499 (or 838497 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 220102022022220 its reverse (22220220201022), we get a palindrome (242322242223242).

The spelling of 220102022022220 in words is "two hundred twenty trillion, one hundred two billion, twenty-two million, twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 233 260 466 932 1165 2330 3029 4357 4660 6058 8714 12116 15145 17428 21785 30290 43570 56641 60580 87140 113282 226564 283205 566410 833887 1015181 1132820 1667774 2030362 3335548 4060724 4169435 5075905 8338870 10151810 10840531 13197353 16677740 20303620 21681062 26394706 43362124 52789412 54202655 65986765 108405310 131973530 194295671 216810620 263947060 388591342 777182684 971478355 1942956710 2525843723 3633245659 3885913420 5051687446 7266491318 10103374892 12629218615 14532982636 18166228295 25258437230 36332456590 47232193567 50516874460 72664913180 94464387134 188928774268 236160967835 472321935670 846546238547 944643871340 1693092477094 3386184954188 4232731192735 8465462385470 11005101101111 16930924770940 22010202202222 44020404404444 55025505505555 110051011011110 220102022022220