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230265210 = 23572312163
BaseRepresentation
bin11011011100110…
…01000101111010
3121001021200111010
431232121011322
5432421441320
634503214350
75464136100
oct1556310572
9531250433
10230265210
11108a8472a
12651473b6
1338922c06
142281dc70
1515336ae0
hexdb9917a

230265210 has 144 divisors (see below), whose sum is σ = 668344608. Its totient is φ = 50621760.

The previous prime is 230265193. The next prime is 230265227. The reversal of 230265210 is 12562032.

It is an interprime number because it is at equal distance from previous prime (230265193) and next prime (230265227).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1412589 + ... + 1412751.

It is an arithmetic number, because the mean of its divisors is an integer number (4641282).

Almost surely, 2230265210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230265210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334172304).

230265210 is an abundant number, since it is smaller than the sum of its proper divisors (438079398).

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

230265210 is a wasteful number, since it uses less digits than its factorization.

230265210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 230265210 is about 15174.4920837569. The cubic root of 230265210 is about 612.9279730010.

The spelling of 230265210 in words is "two hundred thirty million, two hundred sixty-five thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 49 62 70 93 98 105 147 155 163 186 210 217 245 294 310 326 434 465 489 490 651 735 815 930 961 978 1085 1141 1302 1470 1519 1630 1922 2170 2282 2445 2883 3038 3255 3423 4557 4805 4890 5053 5705 5766 6510 6727 6846 7595 7987 9114 9610 10106 11410 13454 14415 15159 15190 15974 17115 20181 22785 23961 25265 28830 30318 33635 34230 35371 39935 40362 45570 47089 47922 50530 67270 70742 75795 79870 94178 100905 106113 119805 141267 151590 156643 176855 201810 212226 235445 239610 247597 282534 313286 353710 469929 470890 495194 530565 706335 742791 783215 939858 1061130 1096501 1237985 1412670 1485582 1566430 2193002 2349645 2475970 3289503 3713955 4699290 5482505 6579006 7427910 7675507 10965010 15351014 16447515 23026521 32895030 38377535 46053042 76755070 115132605 230265210