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230335600 = 24521124759
BaseRepresentation
bin11011011101010…
…10010001110000
3121001102021001011
431232222101300
5432431214400
634504520304
75464551235
oct1556522160
9531367034
10230335600
11109022600
1265180094
1338948c71
142283b78c
151534c8ba
hexdbaa470

230335600 has 90 divisors (see below), whose sum is σ = 608389880. Its totient is φ = 83740800.

The previous prime is 230335591. The next prime is 230335607. The reversal of 230335600 is 6533032.

230335600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230335607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46021 + ... + 50779.

Almost surely, 2230335600 is an apocalyptic number.

230335600 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 230335600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304194940).

230335600 is an abundant number, since it is smaller than the sum of its proper divisors (378054280).

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

230335600 is a wasteful number, since it uses less digits than its factorization.

230335600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4799 (or 4777 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 22.

The square root of 230335600 is about 15176.8112592863. The cubic root of 230335600 is about 612.9904221577.

Adding to 230335600 its reverse (6533032), we get a palindrome (236868632).

The spelling of 230335600 in words is "two hundred thirty million, three hundred thirty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 176 200 220 242 275 400 440 484 550 605 880 968 1100 1210 1936 2200 2420 3025 4400 4759 4840 6050 9518 9680 12100 19036 23795 24200 38072 47590 48400 52349 76144 95180 104698 118975 190360 209396 237950 261745 380720 418792 475900 523490 575839 837584 951800 1046980 1151678 1308725 1903600 2093960 2303356 2617450 2879195 4187920 4606712 5234900 5758390 9213424 10469800 11516780 14395975 20939600 23033560 28791950 46067120 57583900 115167800 230335600