Search a number
-
+
231231880 = 235112373313
BaseRepresentation
bin11011100100001…
…01000110001000
3121010002210111201
431302011012020
5433143410010
634540033544
75505303265
oct1562050610
9533083451
10231231880
11109584a30
12655328b4
1338ba0bc9
14229d226c
151547823a
hexdc85188

231231880 has 128 divisors (see below), whose sum is σ = 602277120. Its totient is φ = 79073280.

The previous prime is 231231863. The next prime is 231231901. The reversal of 231231880 is 88132132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 738604 + ... + 738916.

It is an arithmetic number, because the mean of its divisors is an integer number (4705290).

Almost surely, 2231231880 is an apocalyptic number.

231231880 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 231231880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301138560).

231231880 is an abundant number, since it is smaller than the sum of its proper divisors (371045240).

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

231231880 is a wasteful number, since it uses less digits than its factorization.

231231880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 231231880 is about 15206.3105321442. The cubic root of 231231880 is about 613.7844808715.

The spelling of 231231880 in words is "two hundred thirty-one million, two hundred thirty-one thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 73 88 92 110 115 146 184 220 230 253 292 313 365 440 460 506 584 626 730 803 920 1012 1252 1265 1460 1565 1606 1679 2024 2504 2530 2920 3130 3212 3358 3443 4015 5060 6260 6424 6716 6886 7199 8030 8395 10120 12520 13432 13772 14398 16060 16790 17215 18469 22849 27544 28796 32120 33580 34430 35995 36938 45698 57592 67160 68860 71990 73876 79189 91396 92345 114245 137720 143980 147752 158378 182792 184690 228490 251339 287960 316756 369380 395945 456980 502678 525527 633512 738760 791890 913960 1005356 1051054 1256695 1583780 2010712 2102108 2513390 2627635 3167560 4204216 5026780 5255270 5780797 10053560 10510540 11561594 21021080 23123188 28903985 46246376 57807970 115615940 231231880