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230145102 = 2321129149269
BaseRepresentation
bin11011011011110…
…11110001001110
3121001001120201200
431231323301032
5432404120402
634500450330
75463125655
oct1555736116
9531046650
10230145102
11108a02470
12650a99a6
13388b0345
14227cc19c
151531121c
hexdb7bc4e

230145102 has 96 divisors (see below), whose sum is σ = 568620000. Its totient is φ = 66635520.

The previous prime is 230145101. The next prime is 230145109. The reversal of 230145102 is 201541032.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230145101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 855424 + ... + 855692.

It is an arithmetic number, because the mean of its divisors is an integer number (5923125).

Almost surely, 2230145102 is an apocalyptic number.

230145102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 230145102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284310000).

230145102 is an abundant number, since it is smaller than the sum of its proper divisors (338474898).

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

230145102 is a wasteful number, since it uses less digits than its factorization.

230145102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 463 counting only the distinct ones).

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

The square root of 230145102 is about 15170.5340051034. The cubic root of 230145102 is about 612.8213852444.

Adding to 230145102 its reverse (201541032), we get a palindrome (431686134).

The spelling of 230145102 in words is "two hundred thirty million, one hundred forty-five thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 149 174 198 261 269 298 319 447 522 538 638 807 894 957 1341 1614 1639 1914 2421 2682 2871 2959 3278 4321 4842 4917 5742 5918 7801 8642 8877 9834 12963 14751 15602 17754 23403 25926 26631 29502 38889 40081 46806 47531 53262 70209 77778 80162 85811 95062 120243 140418 142593 171622 240486 257433 285186 360729 427779 440891 514866 721458 772299 855558 881782 1162349 1322673 1544598 2324698 2645346 3487047 3968019 6974094 7936038 10461141 12785839 20922282 25571678 38357517 76715034 115072551 230145102