Search a number
-
+
232210114444 = 227111018099227
BaseRepresentation
bin1101100001000011001…
…1010010011110001100
3211012101010022000221001
43120100303102132030
512301031242130234
6254401552350044
722530245256130
oct3302063223614
9735333260831
10232210114444
118a5306129a0
1239006845324
1318b885475a9
14b34bc7b3c0
156091116d14
hex3610cd278c

232210114444 has 96 divisors (see below), whose sum is σ = 512344465920. Its totient is φ = 89455296000.

The previous prime is 232210114421. The next prime is 232210114463. The reversal of 232210114444 is 444411012232.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 31 ways as a sum of consecutive naturals, for example, 25161759 + ... + 25170985.

It is an arithmetic number, because the mean of its divisors is an integer number (5336921520).

Almost surely, 2232210114444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232210114444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256172232960).

232210114444 is an abundant number, since it is smaller than the sum of its proper divisors (280134351476).

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

232210114444 is a wasteful number, since it uses less digits than its factorization.

232210114444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10159 (or 10157 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 232210114444 its reverse (444411012232), we get a palindrome (676621126676).

The spelling of 232210114444 in words is "two hundred thirty-two billion, two hundred ten million, one hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 101 154 202 308 404 707 809 1111 1414 1618 2222 2828 3236 4444 5663 7777 8899 9227 11326 15554 17798 18454 22652 31108 35596 36908 62293 64589 81709 101497 124586 129178 163418 202994 249172 258356 326836 405988 571963 710479 898799 931927 1143926 1420958 1797598 1863854 2287852 2841916 3595196 3727708 6291593 6523489 7464643 10251197 12583186 13046978 14929286 20502394 25166372 26093956 29858572 41004788 52252501 71758379 82111073 104505002 143516758 164222146 209010004 287033516 328444292 574777511 753928943 1149555022 1507857886 2299110044 3015715772 5277502601 8293218373 10555005202 16586436746 21110010404 33172873492 58052528611 116105057222 232210114444