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211233132 = 2232113117207
BaseRepresentation
bin11001001011100…
…10100101101100
3112201110202101100
430211302211230
5413033430012
632543243100
75143311015
oct1445624554
9481422340
10211233132
11a9265640
125a8a9490
13349bb226
14200a800c
15138278dc
hexc97296c

211233132 has 72 divisors (see below), whose sum is σ = 601316352. Its totient is φ = 61941600.

The previous prime is 211233097. The next prime is 211233149. The reversal of 211233132 is 231332112.

211233132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3673 + ... + 20879.

It is an arithmetic number, because the mean of its divisors is an integer number (8351616).

Almost surely, 2211233132 is an apocalyptic number.

211233132 is a gapful number since it is divisible by the number (22) 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 211233132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300658176).

211233132 is an abundant number, since it is smaller than the sum of its proper divisors (390083220).

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

211233132 is a wasteful number, since it uses less digits than its factorization.

211233132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17259 (or 17254 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 211233132 is about 14533.8615653239. The cubic root of 211233132 is about 595.5533604027.

Adding to 211233132 its reverse (231332112), we get a palindrome (442565244).

The spelling of 211233132 in words is "two hundred eleven million, two hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 93 99 124 132 186 198 279 341 372 396 558 682 1023 1116 1364 2046 3069 4092 6138 12276 17207 34414 51621 68828 103242 154863 189277 206484 309726 378554 533417 567831 619452 757108 1066834 1135662 1600251 1703493 2133668 2271324 3200502 3406986 4800753 5867587 6401004 6813972 9601506 11735174 17602761 19203012 23470348 35205522 52808283 70411044 105616566 211233132