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2230142433431 = 111922352146867
BaseRepresentation
bin100000011100111110110…
…110001111100010010111
321220012101110102210202212
4200130332312033202113
5243014312430332211
64424302512024035
7320060002624523
oct40347666174227
97805343383685
102230142433431
1178a88629a3a0
1230027223201b
131323bc5c8473
1479d21c94d83
153d02781338b
hex2073ed8f897

2230142433431 has 48 divisors (see below), whose sum is σ = 2684506053888. Its totient is φ = 1833622876800.

The previous prime is 2230142433419. The next prime is 2230142433461. The reversal of 2230142433431 is 1343342410322.

It is not a de Polignac number, because 2230142433431 - 210 = 2230142432407 is a prime.

It is a super-2 number, since 2×22301424334312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230142433461) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 47561060 + ... + 47607926.

It is an arithmetic number, because the mean of its divisors is an integer number (55927209456).

Almost surely, 22230142433431 is an apocalyptic number.

2230142433431 is a deficient number, since it is larger than the sum of its proper divisors (454363620457).

2230142433431 is a wasteful number, since it uses less digits than its factorization.

2230142433431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47460 (or 47441 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 2230142433431 its reverse (1343342410322), we get a palindrome (3573484843753).

The spelling of 2230142433431 in words is "two trillion, two hundred thirty billion, one hundred forty-two million, four hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 11 19 23 209 253 361 437 521 3971 4807 5731 8303 9899 11983 46867 91333 108889 131813 188081 227677 515537 890473 1077941 2068891 2504447 4325863 9795203 11857351 16918987 20480879 24417707 47584493 186108857 225289669 268594777 389136701 463936433 561607261 4280503711 5103300763 6177679871 8814792227 10670537959 96962714497 117375917549 202740221221 2230142433431