Search a number
-
+
4214041220 = 225210702061
BaseRepresentation
bin1111101100101101…
…0010101010000100
3101212200110110210202
43323023102222010
532112243304340
61534053310032
7206266521314
oct37313225204
911780413722
104214041220
1118727975a4
12997335318
13522083b1c
142bd94d444
15199e54c15
hexfb2d2a84

4214041220 has 12 divisors (see below), whose sum is σ = 8849486604. Its totient is φ = 1685616480.

The previous prime is 4214041211. The next prime is 4214041253. The reversal of 4214041220 is 221404124.

4214041220 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 2 ways, for example, as 490356736 + 3723684484 = 22144^2 + 61022^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 210702061 = 4214041220 / (4 + 2 + 1 + 4 + 0 + 4 + 1 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 4214041192 and 4214041201.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 105351011 + ... + 105351050.

It is an arithmetic number, because the mean of its divisors is an integer number (737457217).

Almost surely, 24214041220 is an apocalyptic number.

It is an amenable number.

4214041220 is an abundant number, since it is smaller than the sum of its proper divisors (4635445384).

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

4214041220 is a wasteful number, since it uses less digits than its factorization.

4214041220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210702070 (or 210702068 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4214041220 is about 64915.6469581872. The cubic root of 4214041220 is about 1615.2246228159.

Adding to 4214041220 its reverse (221404124), we get a palindrome (4435445344).

The spelling of 4214041220 in words is "four billion, two hundred fourteen million, forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 210702061 421404122 842808244 1053510305 2107020610 4214041220