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235630164 = 223711271941
BaseRepresentation
bin11100000101101…
…10111001010100
3121102101020211010
432002312321110
5440310131124
635214212220
75560552260
oct1602667124
9542336733
10235630164
11111009480
1266ab4070
1339a80b43
14234190a0
1515a46529
hexe0b6e54

235630164 has 96 divisors (see below), whose sum is σ = 688730112. Its totient is φ = 60912000.

The previous prime is 235630139. The next prime is 235630207. The reversal of 235630164 is 461036532.

235630164 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, 249934 + ... + 250874.

It is an arithmetic number, because the mean of its divisors is an integer number (7174272).

Almost surely, 2235630164 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 235630164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344365056).

235630164 is an abundant number, since it is smaller than the sum of its proper divisors (453099948).

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

235630164 is a wasteful number, since it uses less digits than its factorization.

235630164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 235630164 is about 15350.2496396638. The cubic root of 235630164 is about 617.6516821017.

Adding to 235630164 its reverse (461036532), we get a palindrome (696666696).

The spelling of 235630164 in words is "two hundred thirty-five million, six hundred thirty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 271 308 462 542 813 924 941 1084 1626 1882 1897 2823 2981 3252 3764 3794 5646 5691 5962 6587 7588 8943 10351 11292 11382 11924 13174 17886 19761 20702 20867 22764 26348 31053 35772 39522 41404 41734 62106 62601 72457 79044 83468 124212 125202 144914 217371 250404 255011 289828 434742 510022 765033 869484 1020044 1530066 1785077 2805121 3060132 3570154 5355231 5610242 7140308 8415363 10710462 11220484 16830726 19635847 21420924 33661452 39271694 58907541 78543388 117815082 235630164