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231890364 = 223419139271
BaseRepresentation
bin11011101001001…
…01110110111100
3121011100020210000
431310211312330
5433330442424
635002114300
75514015126
oct1564456674
9534306700
10231890364
11109994732
12657ab990
1339071844
1422b24216
15155583c9
hexdd25dbc

231890364 has 120 divisors (see below), whose sum is σ = 645075200. Its totient is φ = 72433440.

The previous prime is 231890363. The next prime is 231890369. The reversal of 231890364 is 463098132.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231890363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 855549 + ... + 855819.

Almost surely, 2231890364 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 231890364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322537600).

231890364 is an abundant number, since it is smaller than the sum of its proper divisors (413184836).

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

231890364 is a wasteful number, since it uses less digits than its factorization.

231890364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 231890364 is about 15227.9468084177. The cubic root of 231890364 is about 614.3665577806.

The spelling of 231890364 in words is "two hundred thirty-one million, eight hundred ninety thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 139 162 171 228 271 278 324 342 417 513 542 556 684 813 834 1026 1084 1251 1539 1626 1668 2052 2439 2502 2641 3078 3252 3753 4878 5004 5149 5282 6156 7317 7506 7923 9756 10298 10564 11259 14634 15012 15447 15846 20596 21951 22518 23769 29268 30894 31692 37669 43902 45036 46341 47538 61788 71307 75338 87804 92682 95076 113007 139023 142614 150676 185364 213921 226014 278046 285228 339021 417069 427842 452028 556092 678042 715711 834138 855684 1017063 1356084 1431422 1668276 2034126 2147133 2862844 3051189 4068252 4294266 6102378 6441399 8588532 12204756 12882798 19324197 25765596 38648394 57972591 77296788 115945182 231890364