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224113432230 = 233537113198529
BaseRepresentation
bin1101000010111000110…
…0111001011010100110
3210102110211221221222000
43100232030321122212
512132441014312410
6250542320350130
722122511512462
oct3205614713246
9712424857860
10224113432230
118705620a796
1237527175346
1318197c82b7c
14abc08074a2
155c6a3bedc0
hex342e3396a6

224113432230 has 128 divisors (see below), whose sum is σ = 619223011200. Its totient is φ = 57633472512.

The previous prime is 224113432217. The next prime is 224113432237. The reversal of 224113432230 is 32234311422.

224113432230 is a `hidden beast` number, since 22 + 411 + 3 + 4 + 3 + 223 + 0 = 666.

224113432230 is digitally balanced in base 2, because in such base 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 = 224113432194 and 224113432203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224113432237) 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 63 ways as a sum of consecutive naturals, for example, 1029606 + ... + 1228134.

It is an arithmetic number, because the mean of its divisors is an integer number (4837679775).

Almost surely, 2224113432230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224113432230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309611505600).

224113432230 is an abundant number, since it is smaller than the sum of its proper divisors (395109578970).

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

224113432230 is a wasteful number, since it uses less digits than its factorization.

224113432230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198695 (or 198689 counting only the distinct ones).

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

Adding to 224113432230 its reverse (32234311422), we get a palindrome (256347743652).

The spelling of 224113432230 in words is "two hundred twenty-four billion, one hundred thirteen million, four hundred thirty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 113 135 185 222 226 270 333 339 370 555 565 666 678 999 1017 1110 1130 1665 1695 1998 2034 3051 3330 3390 4181 4995 5085 6102 8362 9990 10170 12543 15255 20905 25086 30510 37629 41810 62715 75258 112887 125430 188145 198529 225774 376290 397058 564435 595587 992645 1128870 1191174 1786761 1985290 2977935 3573522 5360283 5955870 7345573 8933805 10720566 14691146 17867610 22036719 22433777 26801415 36727865 44073438 44867554 53602830 66110157 67301331 73455730 110183595 112168885 132220314 134602662 198330471 201903993 220367190 224337770 330550785 336506655 396660942 403807986 605711979 661101570 673013310 830049749 991652355 1009519965 1211423958 1660099498 1983304710 2019039930 2490149247 3028559895 4150248745 4980298494 6057119790 7470447741 8300497490 12450746235 14940895482 22411343223 24901492470 37352238705 44822686446 74704477410 112056716115 224113432230