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231790000 = 2454131783
BaseRepresentation
bin11011101000011…
…01010110110000
3121011011011002211
431310031112300
5433314240000
635000021504
75513116411
oct1564152660
9534134084
10231790000
11109926292
1265761894
1339037c60
1422ad9808
15155387ba
hexdd0d5b0

231790000 has 100 divisors (see below), whose sum is σ = 604693936. Its totient is φ = 85536000.

The previous prime is 231789997. The next prime is 231790043. The reversal of 231790000 is 97132.

231790000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 129109 + ... + 130891.

Almost surely, 2231790000 is an apocalyptic number.

231790000 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 231790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302346968).

231790000 is an abundant number, since it is smaller than the sum of its proper divisors (372903936).

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

231790000 is a wasteful number, since it uses less digits than its factorization.

231790000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 231790000 is about 15224.6510633249. The cubic root of 231790000 is about 614.2779107407.

The spelling of 231790000 in words is "two hundred thirty-one million, seven hundred ninety thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 625 650 1000 1040 1250 1300 1625 1783 2000 2500 2600 3250 3566 5000 5200 6500 7132 8125 8915 10000 13000 14264 16250 17830 23179 26000 28528 32500 35660 44575 46358 65000 71320 89150 92716 115895 130000 142640 178300 185432 222875 231790 356600 370864 445750 463580 579475 713200 891500 927160 1114375 1158950 1783000 1854320 2228750 2317900 2897375 3566000 4457500 4635800 5794750 8915000 9271600 11589500 14486875 17830000 23179000 28973750 46358000 57947500 115895000 231790000