Search a number
-
+
22167492144 = 24371372711777
BaseRepresentation
bin10100101001010010…
…010001011000110000
32010012220001021111120
4110221102101120300
5330344334222034
614103354142240
71413221400660
oct245122213060
963186037446
1022167492144
119445a75a46
124367a21980
132123766975
1411041001a0
1589b1b5c49
hex529491630

22167492144 has 160 divisors (see below), whose sum is σ = 66205095936. Its totient is φ = 6260613120.

The previous prime is 22167492119. The next prime is 22167492173. The reversal of 22167492144 is 44129476122.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 22167492096 and 22167492105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12473784 + ... + 12475560.

Almost surely, 222167492144 is an apocalyptic number.

22167492144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22167492144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33102547968).

22167492144 is an abundant number, since it is smaller than the sum of its proper divisors (44037603792).

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

22167492144 is a wasteful number, since it uses less digits than its factorization.

22167492144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2197 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The spelling of 22167492144 in words is "twenty-two billion, one hundred sixty-seven million, four hundred ninety-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 137 168 271 274 336 411 542 548 813 822 959 1084 1096 1626 1644 1777 1897 1918 2168 2192 2877 3252 3288 3554 3794 3836 4336 5331 5691 5754 6504 6576 7108 7588 7672 10662 11382 11508 12439 13008 14216 15176 15344 21324 22764 23016 24878 28432 30352 37127 37317 42648 45528 46032 49756 74254 74634 85296 91056 99512 111381 148508 149268 199024 222762 243449 259889 297016 298536 445524 481567 486898 519778 594032 597072 730347 779667 891048 963134 973796 1039556 1444701 1460694 1559334 1704143 1782096 1926268 1947592 2079112 2889402 2921388 3118668 3370969 3408286 3852536 3895184 4158224 5112429 5778804 5842776 6237336 6741938 6816572 7705072 10112907 10224858 11557608 11685552 12474672 13483876 13633144 20225814 20449716 23115216 26967752 27266288 40451628 40899432 53935504 65974679 80903256 81798864 131949358 161806512 197924037 263898716 395848074 461822753 527797432 791696148 923645506 1055594864 1385468259 1583392296 1847291012 2770936518 3166784592 3694582024 5541873036 7389164048 11083746072 22167492144