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230253300 = 223352107797
BaseRepresentation
bin11011011100101…
…10001011110100
3121001021002011000
431232112023310
5432421101200
634503043300
75464056264
oct1556261364
9531232130
10230253300
11108a76792
1265140530
133891a674
14228197a4
1515333300
hexdb962f4

230253300 has 144 divisors (see below), whose sum is σ = 748077120. Its totient is φ = 60750720.

The previous prime is 230253293. The next prime is 230253313. The reversal of 230253300 is 3352032.

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 47 ways as a sum of consecutive naturals, for example, 288502 + ... + 289298.

It is an arithmetic number, because the mean of its divisors is an integer number (5194980).

Almost surely, 2230253300 is an apocalyptic number.

230253300 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 230253300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374038560).

230253300 is an abundant number, since it is smaller than the sum of its proper divisors (517823820).

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

230253300 is a wasteful number, since it uses less digits than its factorization.

230253300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 230253300 is about 15174.0996438009. The cubic root of 230253300 is about 612.9174053342.

The spelling of 230253300 in words is "two hundred thirty million, two hundred fifty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 107 108 135 150 180 214 225 270 300 321 428 450 535 540 642 675 797 900 963 1070 1284 1350 1594 1605 1926 2140 2391 2675 2700 2889 3188 3210 3852 3985 4782 4815 5350 5778 6420 7173 7970 8025 9564 9630 10700 11556 11955 14346 14445 15940 16050 19260 19925 21519 23910 24075 28692 28890 32100 35865 39850 43038 47820 48150 57780 59775 71730 72225 79700 85279 86076 96300 107595 119550 143460 144450 170558 179325 215190 239100 255837 288900 341116 358650 426395 430380 511674 537975 717300 767511 852790 1023348 1075950 1279185 1535022 1705580 2131975 2151900 2302533 2558370 3070044 3837555 4263950 4605066 5116740 6395925 7675110 8527900 9210132 11512665 12791850 15350220 19187775 23025330 25583700 38375550 46050660 57563325 76751100 115126650 230253300