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211317328 = 2431894787
BaseRepresentation
bin11001001100001…
…11001001010000
3112201122000212201
430212013021100
5413044123303
632545132544
75144111335
oct1446071120
9481560781
10211317328
11a9312922
125a92a154
1334a1a651
14200ca98c
151384281d
hexc987250

211317328 has 40 divisors (see below), whose sum is σ = 427472640. Its totient is φ = 101080320.

The previous prime is 211317277. The next prime is 211317331. The reversal of 211317328 is 823713112.

It is a super-2 number, since 2×2113173282 = 89310026226119168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211317296 and 211317305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41751 + ... + 46537.

It is an arithmetic number, because the mean of its divisors is an integer number (10686816).

Almost surely, 2211317328 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 211317328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

211317328 is an abundant number, since it is smaller than the sum of its proper divisors (216155312).

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

211317328 is a wasteful number, since it uses less digits than its factorization.

211317328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915 (or 4909 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 211317328 is about 14536.7578228434. The cubic root of 211317328 is about 595.6324776471.

The spelling of 211317328 in words is "two hundred eleven million, three hundred seventeen thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 31 62 89 124 178 248 356 496 712 1424 2759 4787 5518 9574 11036 19148 22072 38296 44144 76592 148397 296794 426043 593588 852086 1187176 1704172 2374352 3408344 6816688 13207333 26414666 52829332 105658664 211317328