Search a number
-
+
22430235351552 = 29378212540981
BaseRepresentation
bin1010001100110011100100…
…01101011101101000000000
32221102022100200000201121220
411012121302031131220000
510414444110222222202
6115412150255515040
74503350066461650
oct506316215355000
987368320021556
1022430235351552
117168678112366
122623168528a80
13c692152325b2
145778b46a0360
1528d6ddd74abc
hex14667235da00

22430235351552 has 160 divisors (see below), whose sum is σ = 68375264310144. Its totient is φ = 6400830259200.

The previous prime is 22430235351523. The next prime is 22430235351569. The reversal of 22430235351552 is 25515353203422.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7556902 + ... + 10097882.

Almost surely, 222430235351552 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 22430235351552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34187632155072).

22430235351552 is an abundant number, since it is smaller than the sum of its proper divisors (45945028958592).

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

22430235351552 is an equidigital number, since it uses as much as digits as its factorization.

22430235351552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541830 (or 2541814 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 42.

Adding to 22430235351552 its reverse (25515353203422), we get a palindrome (47945588554974).

The spelling of 22430235351552 in words is "twenty-two trillion, four hundred thirty billion, two hundred thirty-five million, three hundred fifty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 821 896 1344 1536 1642 1792 2463 2688 3284 3584 4926 5376 5747 6568 9852 10752 11494 13136 17241 19704 22988 26272 34482 39408 45976 52544 68964 78816 91952 105088 137928 157632 183904 210176 275856 315264 367808 420352 551712 630528 735616 1103424 1261056 1471232 2206848 2540981 2942464 4413696 5081962 7622943 8827392 10163924 15245886 17786867 20327848 30491772 35573734 40655696 53360601 60983544 71147468 81311392 106721202 121967088 142294936 162622784 213442404 243934176 284589872 325245568 426884808 487868352 569179744 650491136 853769616 975736704 1138359488 1300982272 1707539232 1951473408 2086145401 2276718976 3415078464 3902946816 4172290802 4553437952 6258436203 6830156928 8344581604 9106875904 12516872406 13660313856 14603017807 16689163208 25033744812 27320627712 29206035614 33378326416 43809053421 50067489624 58412071228 66756652832 87618106842 100134979248 116824142456 133513305664 175236213684 200269958496 233648284912 267026611328 350472427368 400539916992 467296569824 534053222656 700944854736 801079833984 934593139648 1068106445312 1401889709472 1602159667968 1869186279296 2803779418944 3204319335936 3738372558592 5607558837888 7476745117184 11215117675776 22430235351552