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211028868 = 22332577603
BaseRepresentation
bin11001001010000…
…00101110000100
3112201002101012000
430211000232010
5413010410433
632535025300
75141500341
oct1445005604
9481071160
10211028868
11a9136126
125a80b230
133494926b
14200537c8
15137d7113
hexc940b84

211028868 has 48 divisors (see below), whose sum is σ = 549312960. Its totient is φ = 70060032.

The previous prime is 211028819. The next prime is 211028869. The reversal of 211028868 is 868820112.

It is a super-2 number, since 2×2110288682 = 89066366258722848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (211028869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23955 + ... + 31557.

It is an arithmetic number, because the mean of its divisors is an integer number (11444020).

Almost surely, 2211028868 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 211028868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274656480).

211028868 is an abundant number, since it is smaller than the sum of its proper divisors (338284092).

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

211028868 is a wasteful number, since it uses less digits than its factorization.

211028868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7873 (or 7865 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 211028868 is about 14526.8326898880. The cubic root of 211028868 is about 595.3613303241.

The spelling of 211028868 in words is "two hundred eleven million, twenty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 257 514 771 1028 1542 2313 3084 4626 6939 7603 9252 13878 15206 22809 27756 30412 45618 68427 91236 136854 205281 273708 410562 821124 1953971 3907942 5861913 7815884 11723826 17585739 23447652 35171478 52757217 70342956 105514434 211028868