Search a number
-
+
1322160112 = 2471329173181
BaseRepresentation
bin100111011001110…
…1000111111110000
310102010212200201001
41032303220333300
510201433110422
6335110251344
744523114130
oct11663507760
93363780631
101322160112
11619363509
1230a956b54
13180bc6680
14c784cac0
157b11b227
hex4ece8ff0

1322160112 has 160 divisors (see below), whose sum is σ = 3298538880. Its totient is φ = 499322880.

The previous prime is 1322160107. The next prime is 1322160127. The reversal of 1322160112 is 2110612231.

It is a self number, because there is not a number n which added to its sum of digits gives 1322160112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7304662 + ... + 7304842.

It is an arithmetic number, because the mean of its divisors is an integer number (20615868).

Almost surely, 21322160112 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 1322160112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649269440).

1322160112 is an abundant number, since it is smaller than the sum of its proper divisors (1976378768).

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

1322160112 is a wasteful number, since it uses less digits than its factorization.

1322160112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1322160112 is about 36361.5196602122. The cubic root of 1322160112 is about 1097.5593579386.

Adding to 1322160112 its reverse (2110612231), we get a palindrome (3432772343).

The spelling of 1322160112 in words is "one billion, three hundred twenty-two million, one hundred sixty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 52 56 58 91 104 112 116 173 181 182 203 208 232 346 362 364 377 406 464 692 724 728 754 812 1211 1267 1384 1448 1456 1508 1624 2249 2353 2422 2534 2639 2768 2896 3016 3248 4498 4706 4844 5017 5068 5249 5278 6032 8996 9412 9688 10034 10136 10498 10556 15743 16471 17992 18824 19376 20068 20272 20996 21112 31313 31486 32942 35119 35984 36743 37648 40136 41992 42224 62626 62972 65221 65884 68237 70238 73486 80272 83984 125252 125944 130442 131768 136474 140476 146972 219191 250504 251888 260884 263536 272948 280952 293944 407069 438382 456547 477659 501008 521768 545896 561904 587888 814138 876764 908077 913094 955318 1043536 1091792 1628276 1753528 1816154 1826188 1910636 2849483 3256552 3507056 3632308 3652376 3821272 5698966 6356539 6513104 7264616 7304752 7642544 11397932 11805001 12713078 14529232 22795864 23610002 25426156 45591728 47220004 50852312 82635007 94440008 101704624 165270014 188880016 330540028 661080056 1322160112