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22113425424 = 24319315931319
BaseRepresentation
bin10100100110000100…
…000001100000010000
32010002010022101220110
4110212010001200100
5330242014103144
614054143241320
71411664005026
oct244604014020
963063271813
1022113425424
1194184a7902
1243518a9240
1321154b651c
1410dac68716
158965860b9
hex526101810

22113425424 has 160 divisors (see below), whose sum is σ = 62224588800. Its totient is φ = 6741411840.

The previous prime is 22113425413. The next prime is 22113425531. The reversal of 22113425424 is 42452431122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22113425391 and 22113425400.

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, 16764637 + ... + 16765955.

It is an arithmetic number, because the mean of its divisors is an integer number (388903680).

Almost surely, 222113425424 is an apocalyptic number.

22113425424 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 22113425424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31112294400).

22113425424 is an abundant number, since it is smaller than the sum of its proper divisors (40111163376).

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

22113425424 is a wasteful number, since it uses less digits than its factorization.

22113425424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1967 counting only the distinct ones).

The product of its digits is 15360, while the sum is 30.

Adding to 22113425424 its reverse (42452431122), we get a palindrome (64565856546).

The spelling of 22113425424 in words is "twenty-two billion, one hundred thirteen million, four hundred twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 589 593 744 912 1178 1186 1319 1488 1767 1779 2356 2372 2638 3534 3558 3957 4712 4744 5276 7068 7116 7914 9424 9488 10552 11267 14136 14232 15828 18383 21104 22534 25061 28272 28464 31656 33801 36766 40889 45068 50122 55149 63312 67602 73532 75183 81778 90136 100244 110298 122667 135204 147064 150366 163556 180272 200488 220596 245334 270408 294128 300732 327112 349277 400976 441192 490668 540816 601464 654224 698554 776891 782167 882384 981336 1047831 1202928 1397108 1553782 1564334 1962672 2095662 2330673 2346501 2794216 3107564 3128668 4191324 4661346 4693002 5588432 6215128 6257336 8382648 9322692 9386004 12430256 12514672 14861173 16765296 18645384 18772008 24247177 29722346 37290768 37544016 44583519 48494354 59444692 72741531 89167038 96988708 118889384 145483062 178334076 193977416 237778768 290966124 356668152 387954832 460696363 581932248 713336304 921392726 1163864496 1382089089 1842785452 2764178178 3685570904 5528356356 7371141808 11056712712 22113425424