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230213424 = 24371936061
BaseRepresentation
bin11011011100011…
…00011100110000
3121001012001110010
431232030130300
5432413312144
634502134520
75463532110
oct1556143460
9531161403
10230213424
11108a49831
1265121440
133890547c
1422809040
15153265b9
hexdb8c730

230213424 has 80 divisors (see below), whose sum is σ = 715470080. Its totient is φ = 62311680.

The previous prime is 230213413. The next prime is 230213429. The reversal of 230213424 is 424312032.

230213424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 230213424.

It is not an unprimeable number, because it can be changed into a prime (230213429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11647 + ... + 24414.

It is an arithmetic number, because the mean of its divisors is an integer number (8943376).

Almost surely, 2230213424 is an apocalyptic number.

230213424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230213424 is an abundant number, since it is smaller than the sum of its proper divisors (485256656).

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

230213424 is a wasteful number, since it uses less digits than its factorization.

230213424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36098 (or 36092 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 230213424 is about 15172.7856374497. The cubic root of 230213424 is about 612.8820209619.

Adding to 230213424 its reverse (424312032), we get a palindrome (654525456).

The spelling of 230213424 in words is "two hundred thirty million, two hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 36061 72122 108183 144244 216366 252427 288488 432732 504854 576976 685159 757281 865464 1009708 1370318 1514562 1730928 2019416 2055477 2740636 3029124 4038832 4110954 4796113 5481272 6058248 8221908 9592226 10962544 12116496 14388339 16443816 19184452 28776678 32887632 38368904 57553356 76737808 115106712 230213424