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231048160 = 2557673079
BaseRepresentation
bin11011100010110…
…00001111100000
3121002202110111021
431301120033200
5433122020120
634532055224
75503606540
oct1561301740
9532673437
10231048160
111094699a2
1265464514
1338b383b5
1422985320
151543daaa
hexdc583e0

231048160 has 96 divisors (see below), whose sum is σ = 633346560. Its totient is φ = 78008832.

The previous prime is 231048143. The next prime is 231048217. The reversal of 231048160 is 61840132.

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 15 ways as a sum of consecutive naturals, for example, 73501 + ... + 76579.

It is an arithmetic number, because the mean of its divisors is an integer number (6597360).

Almost surely, 2231048160 is an apocalyptic number.

231048160 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 231048160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316673280).

231048160 is an abundant number, since it is smaller than the sum of its proper divisors (402298400).

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

231048160 is a wasteful number, since it uses less digits than its factorization.

231048160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3168 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 231048160 is about 15200.2684186826. The cubic root of 231048160 is about 613.6218816618.

Adding to 231048160 its reverse (61840132), we get a palindrome (292888292).

The spelling of 231048160 in words is "two hundred thirty-one million, forty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 67 70 80 112 134 140 160 224 268 280 335 469 536 560 670 938 1072 1120 1340 1876 2144 2345 2680 3079 3752 4690 5360 6158 7504 9380 10720 12316 15008 15395 18760 21553 24632 30790 37520 43106 49264 61580 75040 86212 98528 107765 123160 172424 206293 215530 246320 344848 412586 431060 492640 689696 825172 862120 1031465 1444051 1650344 1724240 2062930 2888102 3300688 3448480 4125860 5776204 6601376 7220255 8251720 11552408 14440510 16503440 23104816 28881020 33006880 46209632 57762040 115524080 231048160