Search a number
-
+
2120221220 = 225138154697
BaseRepresentation
bin111111001100000…
…0000001000100100
312110202120101201212
41332120000020210
513320234034340
6550215410552
7103353403655
oct17630001044
95422511655
102120221220
1199889a647
124b2083a58
1327a34ab90
1416183152c
15c620da65
hex7e600224

2120221220 has 24 divisors (see below), whose sum is σ = 4794962424. Its totient is φ = 782850816.

The previous prime is 2120221199. The next prime is 2120221261. The reversal of 2120221220 is 221220212.

It can be written as a sum of positive squares in 4 ways, for example, as 261404224 + 1858816996 = 16168^2 + 43114^2 .

It is a super-3 number, since 3×21202212203 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2120221195 and 2120221204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4077089 + ... + 4077608.

It is an arithmetic number, because the mean of its divisors is an integer number (199790101).

Almost surely, 22120221220 is an apocalyptic number.

2120221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120221220 is an abundant number, since it is smaller than the sum of its proper divisors (2674741204).

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

2120221220 is a wasteful number, since it uses less digits than its factorization.

2120221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8154719 (or 8154717 counting only the distinct ones).

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

The square root of 2120221220 is about 46045.8599659079. The cubic root of 2120221220 is about 1284.6763395255.

Adding to 2120221220 its reverse (221220212), we get a palindrome (2341441432).

The spelling of 2120221220 in words is "two billion, one hundred twenty million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 8154697 16309394 32618788 40773485 81546970 106011061 163093940 212022122 424044244 530055305 1060110610 2120221220