Search a number
-
+
230012087520 = 25352683178603
BaseRepresentation
bin1101011000110111001…
…0011110110011100000
3210222200221022200211110
43112031302132303200
512232031043300040
6253355513143320
722421625325305
oct3261562366340
9728627280743
10230012087520
1189602910816
12386b26bab40
13188c8057047
14b1bdd950ac
155eb3189980
hex358dc9ece0

230012087520 has 96 divisors (see below), whose sum is σ = 724812181632. Its totient is φ = 61313352192.

The previous prime is 230012087423. The next prime is 230012087521. The reversal of 230012087520 is 25780210032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230012087521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1198539 + ... + 1377141.

It is an arithmetic number, because the mean of its divisors is an integer number (7550126892).

Almost surely, 2230012087520 is an apocalyptic number.

230012087520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230012087520 is an abundant number, since it is smaller than the sum of its proper divisors (494800094112).

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

230012087520 is a wasteful number, since it uses less digits than its factorization.

230012087520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181304 (or 181296 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 230012087520 its reverse (25780210032), we get a palindrome (255792297552).

The spelling of 230012087520 in words is "two hundred thirty billion, twelve million, eighty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2683 5366 8049 10732 13415 16098 21464 26830 32196 40245 42928 53660 64392 80490 85856 107320 128784 160980 178603 214640 257568 321960 357206 429280 535809 643920 714412 893015 1071618 1287840 1428824 1786030 2143236 2679045 2857648 3572060 4286472 5358090 5715296 7144120 8572944 10716180 14288240 17145888 21432360 28576480 42864720 85729440 479191849 958383698 1437575547 1916767396 2395959245 2875151094 3833534792 4791918490 5750302188 7187877735 7667069584 9583836980 11500604376 14375755470 15334139168 19167673960 23001208752 28751510940 38335347920 46002417504 57503021880 76670695840 115006043760 230012087520