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230107104 = 253217431093
BaseRepresentation
bin11011011011100…
…10011111100000
3121000222122121100
431231302133200
5432401411404
634455554400
75462610123
oct1555623740
9530878540
10230107104
11108986967
126508ba00
1338898c66
14227bc3ba
1515304d39
hexdb727e0

230107104 has 144 divisors (see below), whose sum is σ = 709620912. Its totient is φ = 70447104.

The previous prime is 230107093. The next prime is 230107117. The reversal of 230107104 is 401701032.

Adding to 230107104 its reverse (401701032), we get a palindrome (631808136).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2301071042 = 105898558622533632, 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209982 + ... + 211074.

It is an arithmetic number, because the mean of its divisors is an integer number (4927923).

Almost surely, 2230107104 is an apocalyptic number.

230107104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230107104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354810456).

230107104 is an abundant number, since it is smaller than the sum of its proper divisors (479513808).

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

230107104 is a wasteful number, since it uses less digits than its factorization.

230107104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 230107104 is about 15169.2815914268. The cubic root of 230107104 is about 612.7876568581.

The spelling of 230107104 in words is "two hundred thirty million, one hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 43 48 51 68 72 86 96 102 129 136 144 153 172 204 258 272 288 306 344 387 408 516 544 612 688 731 774 816 1032 1093 1224 1376 1462 1548 1632 2064 2186 2193 2448 2924 3096 3279 4128 4372 4386 4896 5848 6192 6558 6579 8744 8772 9837 11696 12384 13116 13158 17488 17544 18581 19674 23392 26232 26316 34976 35088 37162 39348 46999 52464 52632 55743 70176 74324 78696 93998 104928 105264 111486 140997 148648 157392 167229 187996 210528 222972 281994 297296 314784 334458 375992 422991 445944 563988 594592 668916 751984 798983 845982 891888 1127976 1337832 1503968 1597966 1691964 1783776 2255952 2396949 2675664 3195932 3383928 4511904 4793898 5351328 6391864 6767856 7190847 9587796 12783728 13535712 14381694 19175592 25567456 28763388 38351184 57526776 76702368 115053552 230107104