Search a number
-
+
211200220 = 225711137143
BaseRepresentation
bin11001001011010…
…10100011011100
3112201102002020101
430211222203130
5413031401340
632542430444
75143113040
oct1445524334
9481362211
10211200220
11a9242940
125a892424
13349a925a
142009a020
151381cc9a
hexc96a8dc

211200220 has 48 divisors (see below), whose sum is σ = 552964608. Its totient is φ = 65828160.

The previous prime is 211200211. The next prime is 211200229. The reversal of 211200220 is 22002112.

211200220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211200211) and next prime (211200229).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 211200197 and 211200206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211200229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67032 + ... + 70111.

It is an arithmetic number, because the mean of its divisors is an integer number (11520096).

Almost surely, 2211200220 is an apocalyptic number.

211200220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211200220 is an abundant number, since it is smaller than the sum of its proper divisors (341764388).

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

211200220 is a wasteful number, since it uses less digits than its factorization.

211200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137170 (or 137168 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 211200220 is about 14532.7292687919. The cubic root of 211200220 is about 595.5224279600.

Adding to 211200220 its reverse (22002112), we get a palindrome (233202332).

The spelling of 211200220 in words is "two hundred eleven million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 137143 274286 548572 685715 960001 1371430 1508573 1920002 2742860 3017146 3840004 4800005 6034292 7542865 9600010 10560011 15085730 19200020 21120022 30171460 42240044 52800055 105600110 211200220