Search a number
-
+
231375630 = 235232931373
BaseRepresentation
bin11011100101010…
…00001100001110
3121010101002200210
431302220030032
5433213010010
634543103250
75506442343
oct1562501416
9533332623
10231375630
11109672a32
12655a1b26
1338c21475
1422a2c7ca
15154a5b20
hexdca830e

231375630 has 128 divisors (see below), whose sum is σ = 620421120. Its totient is φ = 54996480.

The previous prime is 231375629. The next prime is 231375631. The reversal of 231375630 is 36573132.

It is an interprime number because it is at equal distance from previous prime (231375629) and next prime (231375631).

It is a super-3 number, since 3×2313756303 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231375631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 620124 + ... + 620496.

It is an arithmetic number, because the mean of its divisors is an integer number (4847040).

Almost surely, 2231375630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231375630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310210560).

231375630 is an abundant number, since it is smaller than the sum of its proper divisors (389045490).

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

231375630 is a wasteful number, since it uses less digits than its factorization.

231375630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466.

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 231375630 is about 15211.0364538384. The cubic root of 231375630 is about 613.9116450581.

The spelling of 231375630 in words is "two hundred thirty-one million, three hundred seventy-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 29 30 31 46 58 62 69 87 93 115 138 145 155 174 186 230 290 310 345 373 435 465 667 690 713 746 870 899 930 1119 1334 1426 1798 1865 2001 2139 2238 2697 3335 3565 3730 4002 4278 4495 5394 5595 6670 7130 8579 8990 10005 10695 10817 11190 11563 13485 17158 20010 20677 21390 21634 23126 25737 26970 32451 34689 41354 42895 51474 54085 57815 62031 64902 69378 85790 103385 108170 115630 124062 128685 162255 173445 206770 248791 257370 265949 310155 324510 335327 346890 497582 531898 620310 670654 746373 797847 1005981 1243955 1329745 1492746 1595694 1676635 2011962 2487910 2659490 3353270 3731865 3989235 5029905 7463730 7712521 7978470 10059810 15425042 23137563 38562605 46275126 77125210 115687815 231375630