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230155551032 = 23113101214009
BaseRepresentation
bin1101011001011001010…
…1110000000100111000
3211000001221021101202212
43112112111300010320
512232324310113112
6253422040114252
722425316622261
oct3262625600470
9730057241685
10230155551032
1189676899000
1238732765988
131891b9a79b4
14b1d505b968
155ec0a77522
hex3596570138

230155551032 has 64 divisors (see below), whose sum is σ = 479365279200. Its totient is φ = 103579872000.

The previous prime is 230155551023. The next prime is 230155551149.

230155551032 is nontrivially palindromic in base 10.

230155551032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 230155551032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 968444 + ... + 1182452.

Almost surely, 2230155551032 is an apocalyptic number.

230155551032 is a gapful number since it is divisible by the number (22) 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 230155551032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239682639600).

230155551032 is an abundant number, since it is smaller than the sum of its proper divisors (249209728168).

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

230155551032 is a wasteful number, since it uses less digits than its factorization.

230155551032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214149 (or 214123 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 32.

It can be divided in two parts, 230155 and 551032, that added together give a palindrome (781187).

The spelling of 230155551032 in words is "two hundred thirty billion, one hundred fifty-five million, five hundred fifty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 101 121 202 242 404 484 808 968 1111 1331 2222 2662 4444 5324 8888 10648 12221 24442 48884 97768 134431 214009 268862 428018 537724 856036 1075448 1712072 2354099 4708198 9416396 18832792 21614909 25895089 43229818 51790178 86459636 103580356 172919272 207160712 237763999 284845979 475527998 569691958 951055996 1139383916 1902111992 2278767832 2615403989 5230807978 10461615956 20923231912 28769443879 57538887758 115077775516 230155551032