Search a number
-
+
211336830 = 233543109167
BaseRepresentation
bin11001001100010…
…11111001111110
3112201200000122000
430212023321332
5413100234310
632545403130
75144222235
oct1446137176
9481600560
10211336830
11a9326541
125a9394a6
1334a264a3
14200d3b1c
15138484c0
hexc98be7e

211336830 has 128 divisors (see below), whose sum is σ = 585446400. Its totient is φ = 54214272.

The previous prime is 211336817. The next prime is 211336831. The reversal of 211336830 is 38633112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 211336794 and 211336803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211336831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1265407 + ... + 1265573.

It is an arithmetic number, because the mean of its divisors is an integer number (4573800).

Almost surely, 2211336830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211336830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292723200).

211336830 is an abundant number, since it is smaller than the sum of its proper divisors (374109570).

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

211336830 is a wasteful number, since it uses less digits than its factorization.

211336830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 211336830 is about 14537.4285896784. The cubic root of 211336830 is about 595.6508002765.

Adding to 211336830 its reverse (38633112), we get a palindrome (249969942).

The spelling of 211336830 in words is "two hundred eleven million, three hundred thirty-six thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 109 129 135 167 215 218 258 270 327 334 387 430 501 545 645 654 774 835 981 1002 1090 1161 1290 1503 1635 1670 1935 1962 2322 2505 2943 3006 3270 3870 4509 4687 4905 5010 5805 5886 7181 7515 9018 9374 9810 11610 14061 14362 14715 15030 18203 21543 22545 23435 28122 29430 35905 36406 42183 43086 45090 46870 54609 64629 70305 71810 84366 91015 107715 109218 126549 129258 140610 163827 182030 193887 210915 215430 253098 273045 323145 327654 387774 421830 491481 546090 632745 646290 782729 819135 969435 982962 1265490 1565458 1638270 1938870 2348187 2457405 3913645 4696374 4914810 7044561 7827290 11740935 14089122 21133683 23481870 35222805 42267366 70445610 105668415 211336830