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230132202122232 = 233319138959403537
BaseRepresentation
bin110100010100110111010100…
…001010001010101111111000
31010011211102102211221110111000
4310110313110022022233320
5220130441222220402412
62133241135115005000
766321334334346564
oct6424672412125770
91104742384843430
10230132202122232
1167366578622563
12219891b4a39760
139b544b1898257
1440b865ab0a6a4
151b914001b74dc
hexd14dd428abf8

230132202122232 has 128 divisors (see below), whose sum is σ = 672907685760000. Its totient is φ = 72672623912448.

The previous prime is 230132202122197. The next prime is 230132202122237. The reversal of 230132202122232 is 232221202231032.

230132202122232 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 3 + 220 + 212 + 223 + 2 = 666.

230132202122232 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 230132202122196 and 230132202122205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230132202122237) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570085968 + ... + 570489504.

It is an arithmetic number, because the mean of its divisors is an integer number (5257091295000).

Almost surely, 2230132202122232 is an apocalyptic number.

It is an amenable number.

230132202122232 is an abundant number, since it is smaller than the sum of its proper divisors (442775483637768).

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

230132202122232 is a wasteful number, since it uses less digits than its factorization.

230132202122232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542530 (or 542520 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 230132202122232 its reverse (232221202231032), we get a palindrome (462353404353264).

The spelling of 230132202122232 in words is "two hundred thirty trillion, one hundred thirty-two billion, two hundred two million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 138959 277918 403537 416877 555836 807074 833754 1111672 1210611 1250631 1614148 1667508 2421222 2501262 2640221 3228296 3335016 3631833 3751893 4842444 5002524 5280442 7263666 7503786 7667203 7920663 9684888 10005048 10560884 10895499 14527332 15007572 15334406 15841326 21121768 21790998 23001609 23761989 29054664 30015144 30668812 31682652 43581996 46003218 47523978 61337624 63365304 69004827 71285967 87163992 92006436 95047956 138009654 142571934 184012872 190095912 207014481 276019308 285143868 414028962 552038616 570287736 828057924 1656115848 56075097983 112150195966 168225293949 224300391932 336450587898 448600783864 504675881847 672901175796 1009351763694 1065426861677 1345802351592 1514027645541 2018703527388 2130853723354 3028055291082 3196280585031 4037407054776 4261707446708 6056110582164 6392561170062 8523414893416 9588841755093 12112221164328 12785122340124 19177683510186 25570244680248 28766525265279 38355367020372 57533050530558 76710734040744 115066101061116 230132202122232