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230420000 = 255441281
BaseRepresentation
bin11011011101111…
…10111000100000
3121001120112211002
431232332320200
5432441420000
634510411132
75465352266
oct1556767040
9531515732
10230420000
1110907aa58
1265200aa8
13389784c5
1422860436
15153678d5
hexdbbee20

230420000 has 120 divisors (see below), whose sum is σ = 582760332. Its totient is φ = 89600000.

The previous prime is 230419999. The next prime is 230420017. The reversal of 230420000 is 24032.

It can be written as a sum of positive squares in 10 ways, for example, as 48385936 + 182034064 = 6956^2 + 13492^2 .

It is a congruent number.

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, 819860 + ... + 820140.

Almost surely, 2230420000 is an apocalyptic number.

230420000 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 230420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291380166).

230420000 is an abundant number, since it is smaller than the sum of its proper divisors (352340332).

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

230420000 is an equidigital number, since it uses as much as digits as its factorization.

230420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 230420000 is about 15179.5915623577. The cubic root of 230420000 is about 613.0652840459.

Adding to 230420000 its reverse (24032), we get a palindrome (230444032).

It can be divided in two parts, 2 and 30420000, that multiplied together give a square (60840000 = 78002).

The spelling of 230420000 in words is "two hundred thirty million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 125 160 164 200 205 250 281 328 400 410 500 562 625 656 800 820 1000 1025 1124 1250 1312 1405 1640 2000 2050 2248 2500 2810 3280 4000 4100 4496 5000 5125 5620 6560 7025 8200 8992 10000 10250 11240 11521 14050 16400 20000 20500 22480 23042 25625 28100 32800 35125 41000 44960 46084 51250 56200 57605 70250 82000 92168 102500 112400 115210 140500 164000 175625 184336 205000 224800 230420 281000 288025 351250 368672 410000 460840 562000 576050 702500 820000 921680 1124000 1152100 1405000 1440125 1843360 2304200 2810000 2880250 4608400 5620000 5760500 7200625 9216800 11521000 14401250 23042000 28802500 46084000 57605000 115210000 230420000