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232221312122020 = 2251323324115905809
BaseRepresentation
bin110100110011010000111100…
…110100010111110010100100
31010110020010210111222022210121
4310303100330310113302210
5220414203221400401040
62141520555324331324
766625302411351454
oct6463207464276244
91113203714868717
10232221312122020
1167aa1561772071
12220660676a3b44
139c764b6749940
14414b8001c1d64
151bca92131cc4a
hexd3343cd17ca4

232221312122020 has 96 divisors (see below), whose sum is σ = 529619954703840. Its totient is φ = 85020997386240.

The previous prime is 232221312122003. The next prime is 232221312122089. The reversal of 232221312122020 is 20221213122232.

232221312122020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 53413762974784 + 178807549147236 = 7308472^2 + 13371894^2 .

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, 6646876 + ... + 22552684.

It is an arithmetic number, because the mean of its divisors is an integer number (5516874528165).

Almost surely, 2232221312122020 is an apocalyptic number.

232221312122020 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 232221312122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264809977351920).

232221312122020 is an abundant number, since it is smaller than the sum of its proper divisors (297398642581820).

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

232221312122020 is a wasteful number, since it uses less digits than its factorization.

232221312122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15906305 (or 15906303 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 232221312122020 its reverse (20221213122232), we get a palindrome (252442525244252).

The spelling of 232221312122020 in words is "two hundred thirty-two trillion, two hundred twenty-one billion, three hundred twelve million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 233 241 260 466 482 932 964 1165 1205 2330 2410 3029 3133 4660 4820 6058 6266 12116 12532 15145 15665 30290 31330 56153 60580 62660 112306 224612 280765 561530 729989 1123060 1459978 2919956 3649945 7299890 14599780 15905809 31811618 63623236 79529045 159058090 206775517 318116180 413551034 827102068 1033877585 2067755170 3706053497 3833299969 4135510340 7412106994 7666599938 14824213988 15333199876 18530267485 19166499845 37060534970 38332999690 48178695461 49832899597 74121069940 76665999380 96357390922 99665799194 192714781844 199331598388 240893477305 249164497985 481786954610 498328995970 893158892777 963573909220 996657991940 1786317785554 3572635571108 4465794463885 8931588927770 11611065606101 17863177855540 23222131212202 46444262424404 58055328030505 116110656061010 232221312122020