Search a number
-
+
231960820 = 225713233547
BaseRepresentation
bin11011101001101…
…11000011110100
3121011110211102111
431310313003310
5433340221240
635003420404
75514430420
oct1564670364
9534424374
10231960820
11109a32663
1265824704
1339097930
1422b41b80
151556e1ea
hexdd370f4

231960820 has 96 divisors (see below), whose sum is σ = 603203328. Its totient is φ = 72963072.

The previous prime is 231960811. The next prime is 231960851. The reversal of 231960820 is 28069132.

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, 423787 + ... + 424333.

It is an arithmetic number, because the mean of its divisors is an integer number (6283368).

Almost surely, 2231960820 is an apocalyptic number.

231960820 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 231960820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301601664).

231960820 is an abundant number, since it is smaller than the sum of its proper divisors (371242508).

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

231960820 is a wasteful number, since it uses less digits than its factorization.

231960820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 231960820 is about 15230.2600109125. The cubic root of 231960820 is about 614.4287731400.

The spelling of 231960820 in words is "two hundred thirty-one million, nine hundred sixty thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 233 260 364 455 466 547 910 932 1094 1165 1631 1820 2188 2330 2735 3029 3262 3829 4660 5470 6058 6524 7111 7658 8155 10940 12116 14222 15145 15316 16310 19145 21203 28444 30290 32620 35555 38290 42406 49777 60580 71110 76580 84812 99554 106015 127451 142220 199108 212030 248885 254902 424060 497770 509804 637255 892157 995540 1274510 1656863 1784314 2549020 3313726 3568628 4460785 6627452 8284315 8921570 11598041 16568630 17843140 23196082 33137260 46392164 57990205 115980410 231960820