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22031130144 = 2531738934703
BaseRepresentation
bin10100100001001010…
…000101111000100000
32002212101110101000010
4110201022011320200
5330104432131034
614042043324520
71406644342062
oct244112057040
962771411003
1022031130144
119385aa9181
12432a220740
1321014314aa
1410cdd65732
1588e22c3e9
hex521285e20

22031130144 has 96 divisors (see below), whose sum is σ = 61392764160. Its totient is φ = 6893760512.

The previous prime is 22031130133. The next prime is 22031130157. The reversal of 22031130144 is 44103113022.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 22031130144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 617497 + ... + 652199.

It is an arithmetic number, because the mean of its divisors is an integer number (639507960).

Almost surely, 222031130144 is an apocalyptic number.

22031130144 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 22031130144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30696382080).

22031130144 is an abundant number, since it is smaller than the sum of its proper divisors (39361634016).

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

22031130144 is a wasteful number, since it uses less digits than its factorization.

22031130144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35122 (or 35114 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 22031130144 its reverse (44103113022), we get a palindrome (66134243166).

The spelling of 22031130144 in words is "twenty-two billion, thirty-one million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 389 408 544 778 816 1167 1556 1632 2334 3112 4668 6224 6613 9336 12448 13226 18672 19839 26452 34703 37344 39678 52904 69406 79356 104109 105808 138812 158712 208218 211616 277624 317424 416436 555248 589951 634848 832872 1110496 1179902 1665744 1769853 2359804 3331488 3539706 4719608 7079412 9439216 13499467 14158824 18878432 26998934 28317648 40498401 53997868 56635296 80996802 107995736 161993604 215991472 229490939 323987208 431982944 458981878 647974416 688472817 917963756 1295948832 1376945634 1835927512 2753891268 3671855024 5507782536 7343710048 11015565072 22031130144