[go: up one dir, main page]

Search a number
-
+
2123102220 = 223535385037
BaseRepresentation
bin111111010001011…
…1111100000001100
312110221222202201120
41332202333200030
513322003232340
6550401240540
7103420033251
oct17642774014
95427882646
102123102220
1199a488138
124b3033150
1327ab19305
14161d81428
15c65cc4d0
hex7e8bf80c

2123102220 has 24 divisors (see below), whose sum is σ = 5944686384. Its totient is φ = 566160576.

The previous prime is 2123102213. The next prime is 2123102243. The reversal of 2123102220 is 222013212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2123102220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17692459 + ... + 17692578.

It is an arithmetic number, because the mean of its divisors is an integer number (247695266).

Almost surely, 22123102220 is an apocalyptic number.

2123102220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123102220 is an abundant number, since it is smaller than the sum of its proper divisors (3821584164).

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

2123102220 is a wasteful number, since it uses less digits than its factorization.

2123102220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35385049 (or 35385047 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2123102220 is about 46077.1333743756. The cubic root of 2123102220 is about 1285.2579576704.

Adding to 2123102220 its reverse (222013212), we get a palindrome (2345115432).

The spelling of 2123102220 in words is "two billion, one hundred twenty-three million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 35385037 70770074 106155111 141540148 176925185 212310222 353850370 424620444 530775555 707700740 1061551110 2123102220