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22220052355144 = 2373143475162653
BaseRepresentation
bin1010000110101100000100…
…10100111101100001001000
32220200012211122122020010101
411003112002110331201020
510403023131400331034
6115131430124455144
74452226416464530
oct503260224754110
986605748566111
1022220052355144
117097520308256
1225aa48a6aa4b4
13c5245a343277
1456b6560224c0
15287edb946514
hex14358253d848

22220052355144 has 128 divisors (see below), whose sum is σ = 50304766279680. Its totient is φ = 8999333280000.

The previous prime is 22220052355141. The next prime is 22220052355177. The reversal of 22220052355144 is 44155325002222.

It is a super-2 number, since 2×222200523551442 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (22220052355141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354621322 + ... + 354683974.

It is an arithmetic number, because the mean of its divisors is an integer number (393005986560).

Almost surely, 222220052355144 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 22220052355144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25152383139840).

22220052355144 is an abundant number, since it is smaller than the sum of its proper divisors (28084713924536).

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

22220052355144 is a wasteful number, since it uses less digits than its factorization.

22220052355144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67491 (or 67487 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 37.

Adding to 22220052355144 its reverse (44155325002222), we get a palindrome (66375377357366).

The spelling of 22220052355144 in words is "twenty-two trillion, two hundred twenty billion, fifty-two million, three hundred fifty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 31 43 56 62 86 124 172 217 248 301 344 434 602 868 1204 1333 1736 2408 2666 4751 5332 9331 9502 10664 18662 19004 33257 37324 38008 62653 66514 74648 125306 133028 147281 204293 250612 266056 294562 408586 438571 501224 589124 817172 877142 1030967 1178248 1430051 1634344 1754284 1942243 2061934 2694079 2860102 3508568 3884486 4123868 5388158 5720204 6333083 7768972 8247736 10776316 11440408 12666166 13595701 15537944 18858553 21552632 25332332 27191402 37717106 44331581 50664664 54382804 75434212 83516449 88663162 108765608 150868424 167032898 177326324 297664403 334065796 354652648 584615143 595328806 668131592 1169230286 1190657612 2083650821 2338460572 2381315224 4167301642 4676921144 8334603284 9227596493 12799569329 16669206568 18455192986 25599138658 36910385972 51198277316 64593175451 73820771944 89596985303 102396554632 129186350902 179193970606 258372701804 358387941212 396786649199 516745403608 716775882424 793573298398 1587146596796 2777506544393 3174293193592 5555013088786 11110026177572 22220052355144