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22004132514 = 23713163433571
BaseRepresentation
bin10100011111100011…
…000110101010100010
32002210111122202012220
4110133203012222202
5330031024220024
614035240531510
71406166016560
oct243743065242
962714582186
1022004132514
119371839491
124321180b96
1320c896ac70
1410ca538a30
1588bb97e79
hex51f8c6aa2

22004132514 has 128 divisors (see below), whose sum is σ = 54717831168. Its totient is φ = 5744286720.

The previous prime is 22004132477. The next prime is 22004132561. The reversal of 22004132514 is 41523140022.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38535849 + ... + 38536419.

It is an arithmetic number, because the mean of its divisors is an integer number (427483056).

Almost surely, 222004132514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22004132514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27358915584).

22004132514 is an abundant number, since it is smaller than the sum of its proper divisors (32713698654).

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

22004132514 is a wasteful number, since it uses less digits than its factorization.

22004132514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192.

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 22004132514 its reverse (41523140022), we get a palindrome (63527272536).

The spelling of 22004132514 in words is "twenty-two billion, four million, one hundred thirty-two thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 163 182 273 326 433 489 546 571 866 978 1141 1142 1299 1713 2119 2282 2598 3031 3423 3426 3997 4238 5629 6062 6357 6846 7423 7994 9093 11258 11991 12714 14833 14846 16887 18186 22269 23982 29666 33774 39403 44499 44538 51961 70579 78806 88998 93073 103922 118209 141158 155883 186146 211737 236418 247243 279219 311766 423474 494053 494486 558438 651511 741729 917527 988106 1209949 1303022 1482159 1483458 1730701 1835054 1954533 2419898 2752581 2964318 3214159 3461402 3629847 3909066 5192103 5505162 6422689 6428318 7259694 8469643 9642477 10384206 12845378 16939286 19268067 19284954 22499113 25408929 38536134 40300609 44998226 50817858 67497339 80601218 120901827 134994678 241803654 282104263 523907917 564208526 846312789 1047815834 1571723751 1692625578 3143447502 3667355419 7334710838 11002066257 22004132514