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230201412 = 223723173173
BaseRepresentation
bin11011011100010…
…01100001000100
3121001011102222020
431232021201010
5432412421122
634502003140
75463452100
oct1556114104
9531142866
10230201412
11108a40801
12651164b0
13388ccb6c
1422804900
1515322c5c
hexdb89844

230201412 has 144 divisors (see below), whose sum is σ = 657603072. Its totient is φ = 62415360.

The previous prime is 230201401. The next prime is 230201417. The reversal of 230201412 is 214102032.

230201412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 230201391 and 230201400.

It is not an unprimeable number, because it can be changed into a prime (230201417) 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, 1330558 + ... + 1330730.

It is an arithmetic number, because the mean of its divisors is an integer number (4566688).

Almost surely, 2230201412 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 230201412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328801536).

230201412 is an abundant number, since it is smaller than the sum of its proper divisors (427401660).

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

230201412 is a wasteful number, since it uses less digits than its factorization.

230201412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 230201412 is about 15172.3897919873. The cubic root of 230201412 is about 612.8713611913.

Adding to 230201412 its reverse (214102032), we get a palindrome (444303444).

The spelling of 230201412 in words is "two hundred thirty million, two hundred one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 73 84 93 98 124 146 147 173 186 196 217 219 292 294 346 372 434 438 511 519 588 651 692 868 876 1022 1038 1211 1302 1519 1533 2044 2076 2263 2422 2604 3038 3066 3577 3633 4526 4557 4844 5363 6076 6132 6789 7154 7266 8477 9052 9114 10726 10731 12629 13578 14308 14532 15841 16089 16954 18228 21452 21462 25258 25431 27156 31682 32178 33908 37541 37887 42924 47523 50516 50862 63364 64356 75082 75774 88403 95046 101724 110887 112623 150164 151548 176806 190092 221774 225246 262787 265209 332661 353612 391499 443548 450492 525574 530418 618821 665322 782998 788361 1051148 1060836 1174497 1237642 1330644 1565996 1576722 1856463 2348994 2475284 2740493 3153444 3712926 4697988 5480986 7425852 8221479 10961972 16442958 19183451 32885916 38366902 57550353 76733804 115100706 230201412