Search a number
-
+
211226540 = 22572516011
BaseRepresentation
bin11001001011100…
…00111110101100
3112201110102100012
430211300332230
5413033222130
632543152352
75143252550
oct1445607654
9481412305
10211226540
11a9260698
125a8a56b8
13349b8225
14200a5860
1513825995
hexc970fac

211226540 has 48 divisors (see below), whose sum is σ = 509048064. Its totient is φ = 72120000.

The previous prime is 211226539. The next prime is 211226567. The reversal of 211226540 is 45622112.

It is a happy 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, 32135 + ... + 38145.

It is an arithmetic number, because the mean of its divisors is an integer number (10605168).

Almost surely, 2211226540 is an apocalyptic number.

211226540 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 211226540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254524032).

211226540 is an abundant number, since it is smaller than the sum of its proper divisors (297821524).

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

211226540 is a wasteful number, since it uses less digits than its factorization.

211226540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6278 (or 6276 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 211226540 is about 14533.6347828064. The cubic root of 211226540 is about 595.5471651489.

Adding to 211226540 its reverse (45622112), we get a palindrome (256848652).

The spelling of 211226540 in words is "two hundred eleven million, two hundred twenty-six thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 251 502 1004 1255 1757 2510 3514 5020 6011 7028 8785 12022 17570 24044 30055 35140 42077 60110 84154 120220 168308 210385 420770 841540 1508761 3017522 6035044 7543805 10561327 15087610 21122654 30175220 42245308 52806635 105613270 211226540