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231225435 = 355731877
BaseRepresentation
bin11011100100000…
…11100001011011
3121010002110200000
431302003201123
5433143203220
634535544043
75505245430
oct1562034133
9533073600
10231225435
11109580101
126552b023
1338b9acac
14229cdb87
1515476390
hexdc8385b

231225435 has 96 divisors (see below), whose sum is σ = 490893312. Its totient is φ = 102176640.

The previous prime is 231225427. The next prime is 231225451. The reversal of 231225435 is 534522132.

It is a happy number.

231225435 is a `hidden beast` number, since 2 + 3 + 1 + 225 + 435 = 666.

231225435 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 231225435 - 23 = 231225427 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 231225399 and 231225408.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263217 + ... + 264093.

It is an arithmetic number, because the mean of its divisors is an integer number (5113472).

Almost surely, 2231225435 is an apocalyptic number.

231225435 is an abundant number, since it is smaller than the sum of its proper divisors (259667877).

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

231225435 is an equidigital number, since it uses as much as digits as its factorization.

231225435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 923 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 231225435 is about 15206.0986120701. The cubic root of 231225435 is about 613.7787782585.

Adding to 231225435 its reverse (534522132), we get a palindrome (765747567).

The spelling of 231225435 in words is "two hundred thirty-one million, two hundred twenty-five thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 31 35 45 63 81 93 105 135 155 189 217 243 279 315 405 465 567 651 837 877 945 1085 1215 1395 1701 1953 2511 2631 2835 3255 4185 4385 5859 6139 7533 7893 8505 9765 12555 13155 17577 18417 23679 27187 29295 30695 37665 39465 52731 55251 71037 81561 87885 92085 118395 135935 165753 190309 213111 244683 263655 276255 355185 407805 497259 570927 734049 828765 951545 1065555 1223415 1491777 1712781 2202147 2486295 2854635 3670245 5138343 6606441 7458885 8563905 11010735 15415029 25691715 33032205 46245087 77075145 231225435