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230470200 = 233252612099
BaseRepresentation
bin11011011110010…
…11001000111000
3121001200002200100
431233023020320
5433000021300
634511435400
75465651532
oct1557131070
9531602610
10230470200
11109104744
1265225b60
13389952cc
1422874852
1515377700
hexdbcb238

230470200 has 144 divisors (see below), whose sum is σ = 787059000. Its totient is φ = 60422400.

The previous prime is 230470199. The next prime is 230470211. The reversal of 230470200 is 2074032.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 108751 + ... + 110849.

Almost surely, 2230470200 is an apocalyptic number.

230470200 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 230470200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393529500).

230470200 is an abundant number, since it is smaller than the sum of its proper divisors (556588800).

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

230470200 is a wasteful number, since it uses less digits than its factorization.

230470200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 230470200 is about 15181.2450082330. The cubic root of 230470200 is about 613.1098022337.

The spelling of 230470200 in words is "two hundred thirty million, four hundred seventy thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 61 72 75 90 100 120 122 150 180 183 200 225 244 300 305 360 366 450 488 549 600 610 732 900 915 1098 1220 1464 1525 1800 1830 2099 2196 2440 2745 3050 3660 4198 4392 4575 5490 6100 6297 7320 8396 9150 10495 10980 12200 12594 13725 16792 18300 18891 20990 21960 25188 27450 31485 36600 37782 41980 50376 52475 54900 62970 75564 83960 94455 104950 109800 125940 128039 151128 157425 188910 209900 251880 256078 314850 377820 384117 419800 472275 512156 629700 640195 755640 768234 944550 1024312 1152351 1259400 1280390 1536468 1889100 1920585 2304702 2560780 3072936 3200975 3778200 3841170 4609404 5121560 5761755 6401950 7682340 9218808 9602925 11523510 12803900 15364680 19205850 23047020 25607800 28808775 38411700 46094040 57617550 76823400 115235100 230470200