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211023324 = 2232311731093
BaseRepresentation
bin11001001001111…
…11010111011100
3112201002002120200
430210333113130
5413010221244
632534543500
75141445231
oct1444772734
9481062520
10211023324
11a9131a46
125a807b90
1334946895
1420051788
15137d5669
hexc93f5dc

211023324 has 72 divisors (see below), whose sum is σ = 554316672. Its totient is φ = 67616640.

The previous prime is 211023313. The next prime is 211023331. The reversal of 211023324 is 423320112.

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

It is a junction number, because it is equal to n+sod(n) for n = 211023297 and 211023306.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 192522 + ... + 193614.

Almost surely, 2211023324 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 211023324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277158336).

211023324 is an abundant number, since it is smaller than the sum of its proper divisors (343293348).

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

211023324 is a wasteful number, since it uses less digits than its factorization.

211023324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 211023324 is about 14526.6418693379. The cubic root of 211023324 is about 595.3561166422.

Adding to 211023324 its reverse (423320112), we get a palindrome (634343436).

The spelling of 211023324 in words is "two hundred eleven million, twenty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 173 186 279 346 372 519 558 692 1038 1093 1116 1557 2076 2186 3114 3279 4372 5363 6228 6558 9837 10726 13116 16089 19674 21452 32178 33883 39348 48267 64356 67766 96534 101649 135532 189089 193068 203298 304947 378178 406596 567267 609894 756356 1134534 1219788 1701801 2269068 3403602 5861759 6807204 11723518 17585277 23447036 35170554 52755831 70341108 105511662 211023324