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211440132 = 2235191072
BaseRepresentation
bin11001001101001…
…01001000000100
3112201212021100000
430212211020010
5413112041012
632551521300
75145132351
oct1446451004
9481767300
10211440132
11a9397112
125a989230
1334a61507
142011d628
1513868ddc
hexc9a5204

211440132 has 108 divisors (see below), whose sum is σ = 588944720. Its totient is φ = 66146544.

The previous prime is 211440109. The next prime is 211440133. The reversal of 211440132 is 231044112.

211440132 is a `hidden beast` number, since 211 + 440 + 13 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (211440133) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1976023 + ... + 1976129.

Almost surely, 2211440132 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 211440132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294472360).

211440132 is an abundant number, since it is smaller than the sum of its proper divisors (377504588).

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

211440132 is a wasteful number, since it uses less digits than its factorization.

211440132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 211440132 is about 14540.9811223315. The cubic root of 211440132 is about 595.7478363619.

Adding to 211440132 its reverse (231044112), we get a palindrome (442484244).

The spelling of 211440132 in words is "two hundred eleven million, four hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 107 108 114 162 171 214 228 243 321 324 342 428 486 513 642 684 963 972 1026 1284 1539 1926 2033 2052 2889 3078 3852 4066 4617 5778 6099 6156 8132 8667 9234 11449 11556 12198 17334 18297 18468 22898 24396 26001 34347 34668 36594 45796 52002 54891 68694 73188 103041 104004 109782 137388 164673 206082 217531 219564 309123 329346 412164 435062 494019 618246 652593 658692 870124 927369 988038 1236492 1305186 1854738 1957779 1976076 2610372 2782107 3709476 3915558 5564214 5873337 7831116 11128428 11746674 17620011 23493348 35240022 52860033 70480044 105720066 211440132