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230355000 = 2332545119
BaseRepresentation
bin11011011101011…
…11000000111000
3121001110020122200
431232233000320
5432432330000
634505150200
75464661631
oct1556570070
9531406580
10230355000
11109036137
126518b360
1338954a45
1422844888
1515353500
hexdbaf038

230355000 has 120 divisors (see below), whose sum is σ = 779750400. Its totient is φ = 61416000.

The previous prime is 230354989. The next prime is 230355019. The reversal of 230355000 is 553032.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 42441 + ... + 47559.

It is an arithmetic number, because the mean of its divisors is an integer number (6497920).

Almost surely, 2230355000 is an apocalyptic number.

230355000 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 230355000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389875200).

230355000 is an abundant number, since it is smaller than the sum of its proper divisors (549395400).

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

230355000 is a wasteful number, since it uses less digits than its factorization.

230355000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5151 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 230355000 is about 15177.4503787692. The cubic root of 230355000 is about 613.0076313665.

The spelling of 230355000 in words is "two hundred thirty million, three hundred fifty-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 625 750 900 1000 1125 1250 1500 1800 1875 2250 2500 3000 3750 4500 5000 5119 5625 7500 9000 10238 11250 15000 15357 20476 22500 25595 30714 40952 45000 46071 51190 61428 76785 92142 102380 122856 127975 153570 184284 204760 230355 255950 307140 368568 383925 460710 511900 614280 639875 767850 921420 1023800 1151775 1279750 1535700 1842840 1919625 2303550 2559500 3071400 3199375 3839250 4607100 5119000 5758875 6398750 7678500 9214200 9598125 11517750 12797500 15357000 19196250 23035500 25595000 28794375 38392500 46071000 57588750 76785000 115177500 230355000