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230762250 = 23353172011
BaseRepresentation
bin11011100000100…
…10011100001010
3121002012221022000
431300102130022
5433033343000
634522011430
75501306145
oct1560223412
9532187260
10230762250
11109294104
1265346b76
1338a68214
142290d05c
15153d4000
hexdc1270a

230762250 has 128 divisors (see below), whose sum is σ = 677963520. Its totient is φ = 57888000.

The previous prime is 230762219. The next prime is 230762261. The reversal of 230762250 is 52267032.

230762250 is a `hidden beast` number, since 2 + 30 + 7 + 622 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113745 + ... + 115755.

It is an arithmetic number, because the mean of its divisors is an integer number (5296590).

Almost surely, 2230762250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230762250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338981760).

230762250 is an abundant number, since it is smaller than the sum of its proper divisors (447201270).

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

230762250 is a wasteful number, since it uses less digits than its factorization.

230762250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 230762250 is about 15190.8607392735. The cubic root of 230762250 is about 613.3686688710.

The spelling of 230762250 in words is "two hundred thirty million, seven hundred sixty-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 27 30 34 45 50 51 54 75 85 90 102 125 135 150 153 170 225 250 255 270 306 375 425 450 459 510 675 750 765 850 918 1125 1275 1350 1530 2011 2125 2250 2295 2550 3375 3825 4022 4250 4590 6033 6375 6750 7650 10055 11475 12066 12750 18099 19125 20110 22950 30165 34187 36198 38250 50275 54297 57375 60330 68374 90495 100550 102561 108594 114750 150825 170935 180990 205122 251375 271485 301650 307683 341870 452475 502750 512805 542970 615366 754125 854675 904950 923049 1025610 1357425 1508250 1538415 1709350 1846098 2262375 2564025 2714850 3076830 4273375 4524750 4615245 5128050 6787125 7692075 8546750 9230490 12820125 13574250 15384150 23076225 25640250 38460375 46152450 76920750 115381125 230762250