Search a number
-
+
231991760 = 245711132897
BaseRepresentation
bin11011101001111…
…10100111010000
3121011112101212102
431310332213100
5433342214020
635004215532
75514616550
oct1564764720
9534471772
10231991760
11109a53930
126583a5a8
13390a8a40
1422b4d160
1515578475
hexdd3e9d0

231991760 has 160 divisors (see below), whose sum is σ = 724453632. Its totient is φ = 66723840.

The previous prime is 231991709. The next prime is 231991763. The reversal of 231991760 is 67199132.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231991763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78632 + ... + 81528.

Almost surely, 2231991760 is an apocalyptic number.

231991760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231991760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362226816).

231991760 is an abundant number, since it is smaller than the sum of its proper divisors (492461872).

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

231991760 is a wasteful number, since it uses less digits than its factorization.

231991760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2941 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 38.

The square root of 231991760 is about 15231.2757180743. The cubic root of 231991760 is about 614.4560903698.

The spelling of 231991760 in words is "two hundred thirty-one million, nine hundred ninety-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 40 44 52 55 56 65 70 77 80 88 91 104 110 112 130 140 143 154 176 182 208 220 260 280 286 308 364 385 440 455 520 560 572 616 715 728 770 880 910 1001 1040 1144 1232 1430 1456 1540 1820 2002 2288 2860 2897 3080 3640 4004 5005 5720 5794 6160 7280 8008 10010 11440 11588 14485 16016 20020 20279 23176 28970 31867 37661 40040 40558 46352 57940 63734 75322 80080 81116 101395 115880 127468 150644 159335 162232 188305 202790 223069 231760 254936 263627 301288 318670 324464 376610 405580 414271 446138 509872 527254 602576 637340 753220 811160 828542 892276 1054508 1115345 1274680 1318135 1506440 1622320 1657084 1784552 2071355 2109016 2230690 2549360 2636270 2899897 3012880 3314168 3569104 4142710 4218032 4461380 5272540 5799794 6628336 8285420 8922760 10545080 11599588 14499485 16570840 17845520 21090160 23199176 28998970 33141680 46398352 57997940 115995880 231991760