Search a number
-
+
211411220 = 22543293839
BaseRepresentation
bin11001001100111…
…10000100010100
3112201210210200012
430212132010110
5413110124340
632551135352
75144652146
oct1446360424
9481723605
10211411220
11a9377419
125a974558
1334a512c7
1420112c96
1513860565
hexc99e114

211411220 has 48 divisors (see below), whose sum is σ = 456382080. Its totient is φ = 82217856.

The previous prime is 211411153. The next prime is 211411231. The reversal of 211411220 is 22114112.

It is a happy number.

211411220 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

211411220 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 211411195 and 211411204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251561 + ... + 252399.

It is an arithmetic number, because the mean of its divisors is an integer number (9507960).

Almost surely, 2211411220 is an apocalyptic number.

211411220 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 211411220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228191040).

211411220 is an abundant number, since it is smaller than the sum of its proper divisors (244970860).

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

211411220 is a wasteful number, since it uses less digits than its factorization.

211411220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 211411220 is about 14539.9869325939. The cubic root of 211411220 is about 595.7206812417.

Adding to 211411220 its reverse (22114112), we get a palindrome (233525332).

The spelling of 211411220 in words is "two hundred eleven million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 293 430 586 839 860 1172 1465 1678 2930 3356 4195 5860 8390 12599 16780 25198 36077 50396 62995 72154 125990 144308 180385 245827 251980 360770 491654 721540 983308 1229135 2458270 4916540 10570561 21141122 42282244 52852805 105705610 211411220