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2221032202020 = 22325172417300301
BaseRepresentation
bin100000010100011111110…
…101011101111100100100
321212022212112221002200200
4200110133311131330210
5242342133220431040
64420154512110500
7316315151136222
oct40243765357444
97768775832620
102221032202020
11786a30859725
122ba54b235430
1313159a0616a8
14796d9d87b12
153cb92b10630
hex2051fd5df24

2221032202020 has 144 divisors (see below), whose sum is σ = 7136407959408. Its totient is φ = 557203046400.

The previous prime is 2221032202013. The next prime is 2221032202021. The reversal of 2221032202020 is 202022301222.

It can be written as a sum of positive squares in 8 ways, for example, as 141327876096 + 2079704325924 = 375936^2 + 1442118^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2221032201984 and 2221032202002.

It is not an unprimeable number, because it can be changed into a prime (2221032202021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7245870 + ... + 7546170.

It is an arithmetic number, because the mean of its divisors is an integer number (49558388607).

Almost surely, 22221032202020 is an apocalyptic number.

2221032202020 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 2221032202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568203979704).

2221032202020 is an abundant number, since it is smaller than the sum of its proper divisors (4915375757388).

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

2221032202020 is a wasteful number, since it uses less digits than its factorization.

2221032202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302750 (or 302745 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2221032202020 its reverse (202022301222), we get a palindrome (2423054503242).

The spelling of 2221032202020 in words is "two trillion, two hundred twenty-one billion, thirty-two million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 2417 3060 4834 7251 9668 12085 14502 21753 24170 29004 36255 41089 43506 48340 72510 82178 87012 108765 123267 145020 164356 205445 217530 246534 300301 369801 410890 435060 493068 600602 616335 739602 821780 900903 1201204 1232670 1479204 1501505 1801806 1849005 2465340 2702709 3003010 3603612 3698010 4504515 5105117 5405418 6006020 7396020 9009030 10210234 10810836 13513545 15315351 18018060 20420468 25525585 27027090 30630702 45946053 51051170 54054180 61261404 76576755 91892106 102102340 153153510 183784212 229730265 306307020 459460530 725827517 918921060 1451655034 2177482551 2903310068 3629137585 4354965102 6532447653 7258275170 8709930204 10887412755 12339067789 13064895306 14516550340 21774825510 24678135578 26129790612 32662238265 37017203367 43549651020 49356271156 61695338945 65324476530 74034406734 111051610101 123390677890 130648953060 148068813468 185086016835 222103220202 246781355780 370172033670 444206440404 555258050505 740344067340 1110516101010 2221032202020