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234531136 = 2671959467
BaseRepresentation
bin11011111101010…
…10100101000000
3121100022102020101
431332222211000
5440014444021
635134452144
75545324150
oct1576524500
9540272211
10234531136
11110428794
1266664054
1339787828
1423210760
15158caa91
hexdfaa940

234531136 has 112 divisors (see below), whose sum is σ = 570585600. Its totient is φ = 93408768.

The previous prime is 234531097. The next prime is 234531163. The reversal of 234531136 is 631135432.

234531136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501975 + ... + 502441.

Almost surely, 2234531136 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 234531136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285292800).

234531136 is an abundant number, since it is smaller than the sum of its proper divisors (336054464).

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

234531136 is a wasteful number, since it uses less digits than its factorization.

234531136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 554 counting only the distinct ones).

The product of its digits is 6480, while the sum is 28.

The square root of 234531136 is about 15314.4094238074. The cubic root of 234531136 is about 616.6899000093.

Adding to 234531136 its reverse (631135432), we get a palindrome (865666568).

The spelling of 234531136 in words is "two hundred thirty-four million, five hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 59 64 76 112 118 133 152 224 236 266 304 413 448 467 472 532 608 826 934 944 1064 1121 1216 1652 1868 1888 2128 2242 3269 3304 3736 3776 4256 4484 6538 6608 7472 7847 8512 8873 8968 13076 13216 14944 15694 17746 17936 26152 26432 27553 29888 31388 35492 35872 52304 55106 62111 62776 70984 71744 104608 110212 124222 125552 141968 192871 209216 220424 248444 251104 283936 385742 440848 496888 502208 523507 567872 771484 881696 993776 1047014 1542968 1763392 1987552 2094028 3085936 3664549 3975104 4188056 6171872 7329098 8376112 12343744 14658196 16752224 29316392 33504448 58632784 117265568 234531136