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230125104 = 24331179613
BaseRepresentation
bin11011011011101…
…10111000110000
3121001000120022000
431231312320300
5432403000404
634500214000
75463013446
oct1555667060
9531016260
10230125104
11108999440
126509a300
13388a4201
14227c4b96
151530a339
hexdb76e30

230125104 has 160 divisors (see below), whose sum is σ = 730905600. Its totient is φ = 68739840.

The previous prime is 230125061. The next prime is 230125111. The reversal of 230125104 is 401521032.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375102 + ... + 375714.

It is an arithmetic number, because the mean of its divisors is an integer number (4568160).

Almost surely, 2230125104 is an apocalyptic number.

230125104 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 230125104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365452800).

230125104 is an abundant number, since it is smaller than the sum of its proper divisors (500780496).

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

230125104 is a wasteful number, since it uses less digits than its factorization.

230125104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 230125104 is about 15169.8748841248. The cubic root of 230125104 is about 612.8036347659.

Adding to 230125104 its reverse (401521032), we get a palindrome (631646136).

The spelling of 230125104 in words is "two hundred thirty million, one hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 79 88 99 108 132 144 158 176 198 216 237 264 297 316 396 432 474 528 594 613 632 711 792 869 948 1188 1226 1264 1422 1584 1738 1839 1896 2133 2376 2452 2607 2844 3476 3678 3792 4266 4752 4904 5214 5517 5688 6743 6952 7356 7821 8532 9808 10428 11034 11376 13486 13904 14712 15642 16551 17064 20229 20856 22068 23463 26972 29424 31284 33102 34128 40458 41712 44136 46926 48427 53944 60687 62568 66204 80916 88272 93852 96854 107888 121374 125136 132408 145281 161832 182061 187704 193708 242748 264816 290562 323664 364122 375408 387416 435843 485496 532697 581124 728244 774832 871686 970992 1065394 1162248 1307529 1456488 1598091 1743372 2130788 2324496 2615058 2912976 3196182 3486744 4261576 4794273 5230116 6392364 6973488 8523152 9588546 10460232 12784728 14382819 19177092 20920464 25569456 28765638 38354184 57531276 76708368 115062552 230125104