Search a number
-
+
231070080 = 2735120349
BaseRepresentation
bin11011100010111…
…01100110000000
3121002210120120010
431301131212000
5433123220310
634532344520
75504030463
oct1561354600
9532716503
10231070080
1110948440a
1265475140
1338b45377
142298d2da
1515445320
hexdc5d980

231070080 has 64 divisors (see below), whose sum is σ = 736542000. Its totient is φ = 61618176.

The previous prime is 231070043. The next prime is 231070093. The reversal of 231070080 is 80070132.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58255 + ... + 62094.

Almost surely, 2231070080 is an apocalyptic number.

231070080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231070080 is an abundant number, since it is smaller than the sum of its proper divisors (505471920).

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

231070080 is a wasteful number, since it uses less digits than its factorization.

231070080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120371 (or 120359 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 231070080 is about 15200.9894414804. The cubic root of 231070080 is about 613.6412862256.

It can be divided in two parts, 2310 and 70080, that added together give a triangular number (72390 = T380).

The spelling of 231070080 in words is "two hundred thirty-one million, seventy thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 120349 240698 361047 481396 601745 722094 962792 1203490 1444188 1805235 1925584 2406980 2888376 3610470 3851168 4813960 5776752 7220940 7702336 9627920 11553504 14441880 15404672 19255840 23107008 28883760 38511680 46214016 57767520 77023360 115535040 231070080