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211908928 = 2672116143
BaseRepresentation
bin11001010000101…
…11100101000000
3112202202002101211
430220113211000
5413222041203
633005535504
75152124200
oct1450274500
9482662354
10211908928
11a9687350
125ab74594
1334b969ca
1420202400
151390cc6d
hexca17940

211908928 has 84 divisors (see below), whose sum is σ = 533716992. Its totient is φ = 82548480.

The previous prime is 211908871. The next prime is 211908929. The reversal of 211908928 is 829809112.

It is a super-2 number, since 2×2119089282 = 89810787532218368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211908929) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 31425 + ... + 37567.

Almost surely, 2211908928 is an apocalyptic number.

211908928 is a gapful number since it is divisible by the number (28) 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 211908928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266858496).

211908928 is an abundant number, since it is smaller than the sum of its proper divisors (321808064).

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

211908928 is a wasteful number, since it uses less digits than its factorization.

211908928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6180 (or 6163 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 40.

The square root of 211908928 is about 14557.0920172952. The cubic root of 211908928 is about 596.1878002235.

The spelling of 211908928 in words is "two hundred eleven million, nine hundred eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 154 176 196 224 308 352 392 448 539 616 704 784 1078 1232 1568 2156 2464 3136 4312 4928 6143 8624 12286 17248 24572 34496 43001 49144 67573 86002 98288 135146 172004 196576 270292 301007 344008 393152 473011 540584 602014 688016 946022 1081168 1204028 1376032 1892044 2162336 2408056 2752064 3311077 3784088 4324672 4816112 6622154 7568176 9632224 13244308 15136352 19264448 26488616 30272704 52977232 105954464 211908928