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211230220 = 225194711827
BaseRepresentation
bin11001001011100…
…01111000001100
3112201110121101111
430211301320030
5413033331340
632543221404
75143266355
oct1445617014
9481417344
10211230220
11a9263433
125a8a7864
13349b9ac6
14200a6d2c
1513826aea
hexc971e0c

211230220 has 48 divisors (see below), whose sum is σ = 476904960. Its totient is φ = 78335424.

The previous prime is 211230199. The next prime is 211230221. The reversal of 211230220 is 22032112.

It is a self number, because there is not a number n which added to its sum of digits gives 211230220.

It is not an unprimeable number, because it can be changed into a prime (211230221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11947 + ... + 23773.

It is an arithmetic number, because the mean of its divisors is an integer number (9935520).

Almost surely, 2211230220 is an apocalyptic number.

211230220 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 211230220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238452480).

211230220 is an abundant number, since it is smaller than the sum of its proper divisors (265674740).

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

211230220 is a wasteful number, since it uses less digits than its factorization.

211230220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11902 (or 11900 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 211230220 is about 14533.7613851336. The cubic root of 211230220 is about 595.5506236803.

Adding to 211230220 its reverse (22032112), we get a palindrome (233262332).

The spelling of 211230220 in words is "two hundred eleven million, two hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 47 76 94 95 188 190 235 380 470 893 940 1786 3572 4465 8930 11827 17860 23654 47308 59135 118270 224713 236540 449426 555869 898852 1111738 1123565 2223476 2247130 2779345 4494260 5558690 10561511 11117380 21123022 42246044 52807555 105615110 211230220