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211244292 = 223272313863
BaseRepresentation
bin11001001011101…
…01010100000100
3112201111022200200
430211311110010
5413034304132
632543410500
75143355400
oct1445652404
9481438620
10211244292
11a9272a66
125a8b3a30
13349c332c
14200ac100
151382ad7c
hexc975504

211244292 has 108 divisors (see below), whose sum is σ = 641362176. Its totient is φ = 58393440.

The previous prime is 211244263. The next prime is 211244311. The reversal of 211244292 is 292442112.

211244292 is a `hidden beast` number, since 211 + 2 + 442 + 9 + 2 = 666.

211244292 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52753 + ... + 56615.

Almost surely, 2211244292 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 211244292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320681088).

211244292 is an abundant number, since it is smaller than the sum of its proper divisors (430117884).

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

211244292 is a wasteful number, since it uses less digits than its factorization.

211244292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918 (or 3906 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 211244292 is about 14534.2454912527. The cubic root of 211244292 is about 595.5638484330.

The spelling of 211244292 in words is "two hundred eleven million, two hundred forty-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 49 62 63 84 93 98 124 126 147 186 196 217 252 279 294 372 434 441 558 588 651 868 882 1116 1302 1519 1764 1953 2604 3038 3863 3906 4557 6076 7726 7812 9114 11589 13671 15452 18228 23178 27041 27342 34767 46356 54082 54684 69534 81123 108164 119753 139068 162246 189287 239506 243369 324492 359259 378574 479012 486738 567861 718518 757148 838271 973476 1077777 1135722 1437036 1676542 1703583 2155554 2271444 2514813 3353084 3407166 4311108 5029626 5867897 6814332 7544439 10059252 11735794 15088878 17603691 23471588 30177756 35207382 52811073 70414764 105622146 211244292