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230210232 = 233721910303
BaseRepresentation
bin11011011100010…
…11101010111000
3121001011220001220
431232023222320
5432413211412
634502112040
75463516600
oct1556135270
9531156056
10230210232
11108a4739a
126511b620
1338903b95
1422807c00
151532568c
hexdb8bab8

230210232 has 96 divisors (see below), whose sum is σ = 704793600. Its totient is φ = 62306496.

The previous prime is 230210231. The next prime is 230210237. The reversal of 230210232 is 232012032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230210231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17193 + ... + 27495.

It is an arithmetic number, because the mean of its divisors is an integer number (7341600).

Almost surely, 2230210232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230210232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352396800).

230210232 is an abundant number, since it is smaller than the sum of its proper divisors (474583368).

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

230210232 is a wasteful number, since it uses less digits than its factorization.

230210232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10345 (or 10334 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 230210232 is about 15172.6804487539. The cubic root of 230210232 is about 612.8791883318.

Adding to 230210232 its reverse (232012032), we get a palindrome (462222264).

The spelling of 230210232 in words is "two hundred thirty million, two hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 392 399 456 532 588 798 931 1064 1176 1596 1862 2793 3192 3724 5586 7448 10303 11172 20606 22344 30909 41212 61818 72121 82424 123636 144242 195757 216363 247272 288484 391514 432726 504847 576968 587271 783028 865452 1009694 1174542 1370299 1514541 1566056 1730904 2019388 2349084 2740598 3029082 4038776 4110897 4698168 5481196 6058164 8221794 9592093 10962392 12116328 16443588 19184186 28776279 32887176 38368372 57552558 76736744 115105116 230210232