Search a number
-
+
2222101220 = 2252997127311
BaseRepresentation
bin1000010001110010…
…1001001011100100
312201212021102211012
42010130221023210
514022324214340
61004255201352
7106031356133
oct20434511344
95655242735
102222101220
11a40355599
12520216258
1329549c2c1
1417119191a
15d0135565
hex847292e4

2222101220 has 96 divisors (see below), whose sum is σ = 4931297280. Its totient is φ = 839946240.

The previous prime is 2222101201. The next prime is 2222101253. The reversal of 2222101220 is 221012222.

It is a junction number, because it is equal to n+sod(n) for n = 2222101195 and 2222101204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7144865 + ... + 7145175.

It is an arithmetic number, because the mean of its divisors is an integer number (51367680).

Almost surely, 22222101220 is an apocalyptic number.

2222101220 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 2222101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2465648640).

2222101220 is an abundant number, since it is smaller than the sum of its proper divisors (2709196060).

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

2222101220 is a wasteful number, since it uses less digits than its factorization.

2222101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 571 counting only the distinct ones).

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

The square root of 2222101220 is about 47139.1686392537. The cubic root of 2222101220 is about 1304.9321945755.

Adding to 2222101220 its reverse (221012222), we get a palindrome (2443113442).

It can be divided in two parts, 2 and 222101220, that added together give a palindrome (222101222).

The spelling of 2222101220 in words is "two billion, two hundred twenty-two million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 97 116 127 145 194 254 290 311 388 485 508 580 622 635 970 1244 1270 1555 1940 2540 2813 3110 3683 5626 6220 7366 9019 11252 12319 14065 14732 18038 18415 24638 28130 30167 36076 36830 39497 45095 49276 56260 60334 61595 73660 78994 90190 120668 123190 150835 157988 180380 197485 246380 301670 357251 394970 603340 714502 789940 874843 1145413 1429004 1749686 1786255 2290826 3499372 3572510 3831209 4374215 4581652 5727065 7145020 7662418 8748430 11454130 15324836 17496860 19156045 22908260 38312090 76624180 111105061 222210122 444420244 555525305 1111050610 2222101220