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22134410034 = 2311537189123
BaseRepresentation
bin10100100111010100…
…000100101100110010
32010010120210112101020
4110213110010230302
5330312402110114
614100213120310
71412340244452
oct244724045462
963116715336
1022134410034
11942932a960
124358929096
132119952b59
1410dd96bd62
1589832daa9
hex527504b32

22134410034 has 64 divisors (see below), whose sum is σ = 49898032128. Its totient is φ = 6488081600.

The previous prime is 22134410017. The next prime is 22134410071. The reversal of 22134410034 is 43001443122.

It is a junction number, because it is equal to n+sod(n) for n = 22134409986 and 22134410013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203797 + ... + 292919.

It is an arithmetic number, because the mean of its divisors is an integer number (779656752).

Almost surely, 222134410034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22134410034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24949016064).

22134410034 is an abundant number, since it is smaller than the sum of its proper divisors (27763622094).

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

22134410034 is a wasteful number, since it uses less digits than its factorization.

22134410034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89263.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22134410034 its reverse (43001443122), we get a palindrome (65135853156).

The spelling of 22134410034 in words is "twenty-two billion, one hundred thirty-four million, four hundred ten thousand, thirty-four".

Divisors: 1 2 3 6 11 22 33 53 66 71 106 142 159 213 318 426 583 781 1166 1562 1749 2343 3498 3763 4686 7526 11289 22578 41393 82786 89123 124179 178246 248358 267369 534738 980353 1960706 2941059 4723519 5882118 6327733 9447038 12655466 14170557 18983199 28341114 37966398 51958709 69605063 103917418 139210126 155876127 208815189 311752254 335369849 417630378 670739698 1006109547 2012219094 3689068339 7378136678 11067205017 22134410034