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232221104224104 = 2331910116573042937
BaseRepresentation
bin110100110011010000110000…
…011011010011011101101000
31010110020010021000210000110210
4310303100300123103131220
5220414202310140132404
62141520522540341120
766625264305301212
oct6463206033233550
91113203230700423
10232221104224104
1167aa1465385306
1222066009b447a0
139c76482658818
14414b7c07455b2
151bca90ce53689
hexd334306d3768

232221104224104 has 128 divisors (see below), whose sum is σ = 617531403369600. Its totient is φ = 72563069030400.

The previous prime is 232221104224097. The next prime is 232221104224111. The reversal of 232221104224104 is 401422401122232.

It is an interprime number because it is at equal distance from previous prime (232221104224097) and next prime (232221104224111).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74793324 + ... + 77836260.

It is an arithmetic number, because the mean of its divisors is an integer number (4824464088825).

Almost surely, 2232221104224104 is an apocalyptic number.

232221104224104 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 232221104224104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308765701684800).

232221104224104 is an abundant number, since it is smaller than the sum of its proper divisors (385310299145496).

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

232221104224104 is a wasteful number, since it uses less digits than its factorization.

232221104224104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044723 (or 3044719 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 232221104224104 its reverse (401422401122232), we get a palindrome (633643505346336).

The spelling of 232221104224104 in words is "two hundred thirty-two trillion, two hundred twenty-one billion, one hundred four million, two hundred twenty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 101 114 152 202 228 303 404 456 606 808 1212 1657 1919 2424 3314 3838 4971 5757 6628 7676 9942 11514 13256 15352 19884 23028 31483 39768 46056 62966 94449 125932 167357 188898 251864 334714 377796 502071 669428 755592 1004142 1338856 2008284 3042937 3179783 4016568 6085874 6359566 9128811 9539349 12171748 12719132 18257622 19078698 24343496 25438264 36515244 38157396 57815803 73030488 76314792 115631606 173447409 231263212 307336637 346894818 462526424 614673274 693789636 922009911 1229346548 1387579272 1844019822 2458693096 3688039644 5042146609 5839396103 7376079288 10084293218 11678792206 15126439827 17518188309 20168586436 23357584412 30252879654 35036376618 40337172872 46715168824 60505759308 70072753236 95800785571 121011518616 140145506472 191601571142 287402356713 383203142284 509256807509 574804713426 766406284568 1018513615018 1149609426852 1527770422527 2037027230036 2299218853704 3055540845054 4074054460072 6111081690108 9675879342671 12222163380216 19351758685342 29027638028013 38703517370684 58055276056026 77407034741368 116110552112052 232221104224104