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211494192 = 24372136917
BaseRepresentation
bin11001001101100…
…10010100110000
3112201222000111020
430212302110300
5413120303232
632553015440
75145446100
oct1446622460
9481860436
10211494192
11a9423798
125a9b4580
1334a7ccc0
1420135200
1513879e2c
hexc9b2530

211494192 has 120 divisors (see below), whose sum is σ = 684549936. Its totient is φ = 55770624.

The previous prime is 211494169. The next prime is 211494193. The reversal of 211494192 is 291494112.

211494192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (211494193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27118 + ... + 34034.

Almost surely, 2211494192 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 211494192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342274968).

211494192 is an abundant number, since it is smaller than the sum of its proper divisors (473055744).

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

211494192 is a wasteful number, since it uses less digits than its factorization.

211494192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6955 (or 6942 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 211494192 is about 14542.8398877248. The cubic root of 211494192 is about 595.7986046863.

The spelling of 211494192 in words is "two hundred eleven million, four hundred ninety-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 3822 4368 5096 6917 7644 10192 13834 15288 20751 27668 30576 41502 48419 55336 83004 89921 96838 110672 145257 166008 179842 193676 269763 290514 332016 338933 359684 387352 539526 581028 629447 677866 719368 774704 1016799 1079052 1162056 1258894 1355732 1438736 1888341 2033598 2158104 2324112 2517788 2711464 3776682 4067196 4316208 4406129 5035576 5422928 7553364 8134392 8812258 10071152 13218387 15106728 16268784 17624516 26436774 30213456 35249032 52873548 70498064 105747096 211494192