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232145116 = 227192941367
BaseRepresentation
bin11011101011001…
…00000011011100
3121011211012020021
431311210003130
5433412120431
635011401524
75516125630
oct1565440334
9534735207
10232145116
1110a049075
12658b32a4
1339130798
1422b8cdc0
15155a8b11
hexdd640dc

232145116 has 96 divisors (see below), whose sum is σ = 519321600. Its totient is φ = 88542720.

The previous prime is 232145093. The next prime is 232145161. The reversal of 232145116 is 611541232.

It is a happy number.

232145116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 632365 + ... + 632731.

It is an arithmetic number, because the mean of its divisors is an integer number (5409600).

Almost surely, 2232145116 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 232145116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259660800).

232145116 is an abundant number, since it is smaller than the sum of its proper divisors (287176484).

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

232145116 is a wasteful number, since it uses less digits than its factorization.

232145116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 465 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 232145116 is about 15236.3091331201. The cubic root of 232145116 is about 614.5914540460.

Adding to 232145116 its reverse (611541232), we get a palindrome (843686348).

The spelling of 232145116 in words is "two hundred thirty-two million, one hundred forty-five thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 19 28 29 38 41 58 76 82 116 133 164 203 266 287 367 406 532 551 574 734 779 812 1102 1148 1189 1468 1558 2204 2378 2569 3116 3857 4756 5138 5453 6973 7714 8323 10276 10643 10906 13946 15047 15428 16646 21286 21812 22591 27892 30094 33292 42572 45182 48811 60188 74501 90364 97622 105329 149002 158137 195244 202217 210658 285893 298004 316274 404434 421316 436363 571786 632548 808868 872726 1143572 1415519 1745452 2001251 2831038 3054541 4002502 5662076 6109082 8005004 8290897 12218164 16581794 33163588 58036279 116072558 232145116