Search a number
-
+
231745080 = 233572631049
BaseRepresentation
bin11011101000000…
…10011000111000
3121011001212111010
431310002120320
5433311320310
634555033520
75512541430
oct1564023070
9534055433
10231745080
111098a5566
126573b8a0
1339020688
1422ac72c0
151552a320
hexdd02638

231745080 has 128 divisors (see below), whose sum is σ = 798336000. Its totient is φ = 52718592.

The previous prime is 231745067. The next prime is 231745121. The reversal of 231745080 is 80547132.

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

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, 220396 + ... + 221444.

It is an arithmetic number, because the mean of its divisors is an integer number (6237000).

Almost surely, 2231745080 is an apocalyptic number.

231745080 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 231745080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399168000).

231745080 is an abundant number, since it is smaller than the sum of its proper divisors (566590920).

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

231745080 is a wasteful number, since it uses less digits than its factorization.

231745080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 231745080 is about 15223.1757527791. The cubic root of 231745080 is about 614.2382266208.

The spelling of 231745080 in words is "two hundred thirty-one million, seven hundred forty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 263 280 420 526 789 840 1049 1052 1315 1578 1841 2098 2104 2630 3147 3156 3682 3945 4196 5245 5260 5523 6294 6312 7343 7364 7890 8392 9205 10490 10520 11046 12588 14686 14728 15735 15780 18410 20980 22029 22092 25176 27615 29372 31470 31560 36715 36820 41960 44058 44184 55230 58744 62940 73430 73640 88116 110145 110460 125880 146860 176232 220290 220920 275887 293720 440580 551774 827661 881160 1103548 1379435 1655322 1931209 2207096 2758870 3310644 3862418 4138305 5517740 5793627 6621288 7724836 8276610 9656045 11035480 11587254 15449672 16553220 19312090 23174508 28968135 33106440 38624180 46349016 57936270 77248360 115872540 231745080