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230462024 = 23132325971
BaseRepresentation
bin11011011110010…
…01001001001000
3121001122200110112
431233021021020
5432444241044
634511333452
75465615642
oct1557111110
9531580415
10230462024
111090a9591
1265221288
1338991680
1422871892
151537509e
hexdbc9248

230462024 has 96 divisors (see below), whose sum is σ = 501681600. Its totient is φ = 98609280.

The previous prime is 230462021. The next prime is 230462119. The reversal of 230462024 is 420264032.

It is a super-2 number, since 2×2304620242 = 106225489012353152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is not an unprimeable number, because it can be changed into a prime (230462021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3245909 + ... + 3245979.

It is an arithmetic number, because the mean of its divisors is an integer number (5225850).

Almost surely, 2230462024 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 230462024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250840800).

230462024 is an abundant number, since it is smaller than the sum of its proper divisors (271219576).

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

230462024 is a wasteful number, since it uses less digits than its factorization.

230462024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 230462024 is about 15180.9757262173. The cubic root of 230462024 is about 613.1025520628.

The spelling of 230462024 in words is "two hundred thirty million, four hundred sixty-two thousand, twenty-four".

Divisors: 1 2 4 8 13 23 26 46 52 59 71 92 104 118 142 184 236 284 299 472 529 568 598 767 923 1058 1196 1357 1534 1633 1846 2116 2392 2714 3068 3266 3692 4189 4232 5428 6136 6532 6877 7384 8378 10856 13064 13754 16756 17641 21229 27508 31211 33512 35282 37559 42458 54457 55016 62422 70564 75118 84916 96347 108914 124844 141128 150236 169832 192694 217828 249688 300472 385388 405743 435656 488267 770776 811486 976534 1252511 1622972 1953068 2215981 2505022 3245944 3906136 4431962 5010044 8863924 10020088 17727848 28807753 57615506 115231012 230462024