Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
211968 = 2103223
BaseRepresentation
bin110011110000000000
3101202202200
4303300000
523240333
64313200
71541661
oct636000
9352680
10211968
11135289
12a2800
1375633
1457368
1542c13
hex33c00

211968 has 66 divisors (see below), whose sum is σ = 638664. Its totient is φ = 67584.

The previous prime is 211949. The next prime is 211969. The reversal of 211968 is 869112.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9205 + ... + 9227.

211968 is a Friedman number, since it can be written as 92*(8*6)^(1+1), using all its digits and the basic arithmetic operations.

2211968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319332).

211968 is an abundant number, since it is smaller than the sum of its proper divisors (426696).

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

211968 is a wasteful number, since it uses less digits than its factorization.

211968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 28 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 211968 is about 460.3998262380. The cubic root of 211968 is about 59.6243193098.

It can be divided in two parts, 2119 and 68, that added together give a 7-th power (2187 = 37).

The spelling of 211968 in words is "two hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1024 1104 1152 1472 1536 1656 2208 2304 2944 3072 3312 4416 4608 5888 6624 8832 9216 11776 13248 17664 23552 26496 35328 52992 70656 105984 211968