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230225444152000 = 2653112616198229
BaseRepresentation
bin110100010110001110001001…
…110100010010001011000000
31010012011100010001021100100221
4310112032021310102023000
5220134003202200331000
62133352035311152424
766331145061464143
oct6426161164221300
91105140101240327
10230225444152000
11673a20762935a0
12219a3297515714
139b6022128372b
1440bcd8441405a
151b93a5ae9561a
hexd16389d122c0

230225444152000 has 112 divisors (see below), whose sum is σ = 621985431993120. Its totient is φ = 83718343296000.

The previous prime is 230225444151991. The next prime is 230225444152007. The reversal of 230225444152000 is 251444522032.

It is not an unprimeable number, because it can be changed into a prime (230225444152007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1308011115 + ... + 1308187114.

Almost surely, 2230225444152000 is an apocalyptic number.

230225444152000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230225444152000 is an abundant number, since it is smaller than the sum of its proper divisors (391759987841120).

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

230225444152000 is a wasteful number, since it uses less digits than its factorization.

230225444152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616198267 (or 2616198247 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 230225444152000 its reverse (251444522032), we get a palindrome (230476888674032).

The spelling of 230225444152000 in words is "two hundred thirty trillion, two hundred twenty-five billion, four hundred forty-four million, one hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1375 1600 1760 2000 2200 2750 3520 4000 4400 5500 8000 8800 11000 17600 22000 44000 88000 2616198229 5232396458 10464792916 13080991145 20929585832 26161982290 28778180519 41859171664 52323964580 57556361038 65404955725 83718343328 104647929160 115112722076 130809911450 143890902595 167436686656 209295858320 230225444152 261619822900 287781805190 327024778625 418591716640 460450888304 523239645800 575563610380 654049557250 719454512975 837183433280 920901776608 1046479291600 1151127220760 1308099114500 1438909025950 1841803553216 2092958583200 2302254441520 2616198229000 2877818051900 3597272564875 4185917166400 4604508883040 5232396458000 5755636103800 7194545129750 9209017766080 10464792916000 11511272207600 14389090259500 20929585832000 23022544415200 28778180519000 46045088830400 57556361038000 115112722076000 230225444152000