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230061312 = 2832137681
BaseRepresentation
bin11011011011001…
…11010100000000
3121000220022210100
431231213110000
5432343430222
634455002400
75462326455
oct1555472400
9530808710
10230061312
11108955518
1265069400
1338881170
14227a982c
15152e64ac
hexdb67500

230061312 has 108 divisors (see below), whose sum is σ = 714441364. Its totient is φ = 70778880.

The previous prime is 230061281. The next prime is 230061343. The reversal of 230061312 is 213160032.

It is an interprime number because it is at equal distance from previous prime (230061281) and next prime (230061343).

It can be written as a sum of positive squares in 2 ways, for example, as 94012416 + 136048896 = 9696^2 + 11664^2 .

It is a super-2 number, since 2×2300613122 = 105856414558322688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 26112 + ... + 33792.

Almost surely, 2230061312 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 230061312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357220682).

230061312 is an abundant number, since it is smaller than the sum of its proper divisors (484380052).

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

230061312 is a wasteful number, since it uses less digits than its factorization.

230061312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7716 (or 7699 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 230061312 is about 15167.7721501874. The cubic root of 230061312 is about 612.7470053043.

The spelling of 230061312 in words is "two hundred thirty million, sixty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1872 2304 2496 3328 3744 4992 7488 7681 9984 14976 15362 23043 29952 30724 46086 61448 69129 92172 99853 122896 138258 184344 199706 245792 276516 299559 368688 399412 491584 553032 599118 737376 798824 898677 983168 1106064 1198236 1474752 1597648 1797354 1966336 2212128 2396472 2949504 3195296 3594708 4424256 4792944 5899008 6390592 7189416 8848512 9585888 12781184 14378832 17697024 19171776 25562368 28757664 38343552 57515328 76687104 115030656 230061312