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23225332235105 = 57211213113533321
BaseRepresentation
bin1010100011111100100011…
…01011010111101101100001
310001020022122100002100022002
411101332101223113231201
511021010440023010410
6121221323105253345
74614655245461600
oct521762153275541
9101208570070262
1023225332235105
117444898622100
122731284934255
13cc61a7442520
145a417d783a37
152a422699b7a5
hex151f91ad7b61

23225332235105 has 144 divisors (see below), whose sum is σ = 38716860449232. Its totient is φ = 13246132838400.

The previous prime is 23225332235101. The next prime is 23225332235153. The reversal of 23225332235105 is 50153223352232.

It can be written as a sum of positive squares in 8 ways, for example, as 11471762226001 + 11753570009104 = 3386999^2 + 3428348^2 .

It is not a de Polignac number, because 23225332235105 - 22 = 23225332235101 is a prime.

It is a super-2 number, since 2×232253322351052 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23225332235101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43281845 + ... + 43815165.

It is an arithmetic number, because the mean of its divisors is an integer number (268867086453).

Almost surely, 223225332235105 is an apocalyptic number.

It is an amenable number.

23225332235105 is a deficient number, since it is larger than the sum of its proper divisors (15491528214127).

23225332235105 is a wasteful number, since it uses less digits than its factorization.

23225332235105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533488 (or 533470 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 38.

Adding to 23225332235105 its reverse (50153223352232), we get a palindrome (73378555587337).

The spelling of 23225332235105 in words is "twenty-three trillion, two hundred twenty-five billion, three hundred thirty-two million, two hundred thirty-five thousand, one hundred five".

Divisors: 1 5 7 11 13 35 49 55 65 77 91 113 121 143 245 385 455 539 565 605 637 715 791 847 1001 1243 1469 1573 2695 3185 3955 4235 5005 5537 5929 6215 7007 7345 7865 8701 10283 11011 13673 16159 27685 29645 35035 43505 51415 55055 60907 68365 71981 77077 80795 95711 113113 177749 304535 359905 385385 478555 533321 565565 669977 791791 888745 1244243 2666605 3349885 3733247 3958955 5866531 6221215 6933173 8709701 18666235 26132729 29332655 34665865 41065717 43548505 48532211 60265273 64531841 76264903 130663645 205328585 242661055 287460019 301326365 322659205 339725477 381324515 421856911 451722887 533854321 662918003 783448549 838913933 1437300095 1698627385 2109284555 2258614435 2669271605 2952998377 3162060209 3314590015 3736980247 3917242745 4194569665 4640426021 5484139843 5872397531 7292098033 8617934039 14764991885 15810301045 18684901235 23202130105 27420699215 29361987655 32482982147 36460490165 38388978901 41106782717 43089670195 51044686231 60325538273 94797274429 162414910735 191944894505 205533913585 255223431155 301627691365 357312803617 422278767911 473986372145 663580921003 1786564018085 2111393839555 3317904605015 4645066447021 23225332235105