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231980000 = 255471657
BaseRepresentation
bin11011101001110…
…11101111100000
3121011111210201212
431310323233200
5433341330000
635004045252
75514540350
oct1564735740
9534453655
10231980000
11109a4600a
1265833828
13390a3595
1422b48b60
1515574c35
hexdd3bbe0

231980000 has 120 divisors (see below), whose sum is σ = 652628592. Its totient is φ = 79488000.

The previous prime is 231979991. The next prime is 231980027. The reversal of 231980000 is 89132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139172 + ... + 140828.

Almost surely, 2231980000 is an apocalyptic number.

231980000 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 231980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326314296).

231980000 is an abundant number, since it is smaller than the sum of its proper divisors (420648592).

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

231980000 is an equidigital number, since it uses as much as digits as its factorization.

231980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 231980000 is about 15230.8896654135. The cubic root of 231980000 is about 614.4457076365.

The spelling of 231980000 in words is "two hundred thirty-one million, nine hundred eighty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1657 1750 2000 2500 2800 3314 3500 4000 4375 5000 5600 6628 7000 8285 8750 10000 11599 13256 14000 16570 17500 20000 23198 26512 28000 33140 35000 41425 46396 53024 57995 66280 70000 82850 92792 115990 132560 140000 165700 185584 207125 231980 265120 289975 331400 371168 414250 463960 579950 662800 828500 927920 1035625 1159900 1325600 1449875 1657000 1855840 2071250 2319800 2899750 3314000 4142500 4639600 5799500 6628000 7249375 8285000 9279200 11599000 14498750 16570000 23198000 28997500 33140000 46396000 57995000 115990000 231980000