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211094928 = 243211711877
BaseRepresentation
bin11001001010100…
…00110110010000
3112201012201210200
430211100312100
5413020014203
632540255200
75142164052
oct1445206620
9481181720
10211094928
11a9180820
125a841500
1334970355
142006d8d2
15137eb9a3
hexc950d90

211094928 has 120 divisors (see below), whose sum is σ = 653904576. Its totient is φ = 63033600.

The previous prime is 211094911. The next prime is 211094929. The reversal of 211094928 is 829490112.

211094928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2110949282 = 89122137254650368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 211094892 and 211094901.

It is not an unprimeable number, because it can be changed into a prime (211094929) 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 23 ways as a sum of consecutive naturals, for example, 111526 + ... + 113402.

Almost surely, 2211094928 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 211094928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326952288).

211094928 is an abundant number, since it is smaller than the sum of its proper divisors (442809648).

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

211094928 is a wasteful number, since it uses less digits than its factorization.

211094928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 211094928 is about 14529.1062354159. The cubic root of 211094928 is about 595.4234473647.

The spelling of 211094928 in words is "two hundred eleven million, ninety-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 71 72 88 99 132 142 144 176 198 213 264 284 396 426 528 568 639 781 792 852 1136 1278 1562 1584 1704 1877 2343 2556 3124 3408 3754 4686 5112 5631 6248 7029 7508 9372 10224 11262 12496 14058 15016 16893 18744 20647 22524 28116 30032 33786 37488 41294 45048 56232 61941 67572 82588 90096 112464 123882 133267 135144 165176 185823 247764 266534 270288 330352 371646 399801 495528 533068 743292 799602 991056 1066136 1199403 1465937 1486584 1599204 2132272 2398806 2931874 2973168 3198408 4397811 4797612 5863748 6396816 8795622 9595224 11727496 13193433 17591244 19190448 23454992 26386866 35182488 52773732 70364976 105547464 211094928