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211314124 = 22719894463
BaseRepresentation
bin11001001100001…
…10010111001100
3112201121212111001
430212012113030
5413044022444
632545110044
75144066110
oct1446062714
9481555431
10211314124
11a931047a
125a928324
1334a19058
14200c9740
15138418d4
hexc9865cc

211314124 has 48 divisors (see below), whose sum is σ = 449971200. Its totient is φ = 84813696.

The previous prime is 211314113. The next prime is 211314161. The reversal of 211314124 is 421413112.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

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, 45117 + ... + 49579.

It is an arithmetic number, because the mean of its divisors is an integer number (9374400).

Almost surely, 2211314124 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 211314124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

211314124 is an abundant number, since it is smaller than the sum of its proper divisors (238657076).

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

211314124 is a wasteful number, since it uses less digits than its factorization.

211314124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582 (or 4580 counting only the distinct ones).

The product of its digits is 192, while the sum is 19.

The square root of 211314124 is about 14536.6476190351. The cubic root of 211314124 is about 595.6294672991.

Adding to 211314124 its reverse (421413112), we get a palindrome (632727236).

The spelling of 211314124 in words is "two hundred eleven million, three hundred fourteen thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 19 28 38 76 89 133 178 266 356 532 623 1246 1691 2492 3382 4463 6764 8926 11837 17852 23674 31241 47348 62482 84797 124964 169594 339188 397207 593579 794414 1187158 1588828 2374316 2780449 5560898 7546933 11121796 15093866 30187732 52828531 105657062 211314124