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22422400422422 = 27111389125842699
BaseRepresentation
bin1010001100100100111110…
…01101100101001000010110
32221101120010122020002101112
411012102133031211020112
510414332034002004142
6115404413014055022
74502651661620660
oct506223715451026
987346118202345
1022422400422422
117165317540120
12262174064a472
13c68566c67060
1457736dcc5530
1528d3d10d4382
hex14649f365216

22422400422422 has 64 divisors (see below), whose sum is σ = 45665798976000. Its totient is φ = 7973393345280.

The previous prime is 22422400422419. The next prime is 22422400422449.

22422400422422 is nontrivially palindromic in base 10.

It is a congruent number.

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, 62743172 + ... + 63099527.

It is an arithmetic number, because the mean of its divisors is an integer number (713528109000).

Almost surely, 222422400422422 is an apocalyptic number.

22422400422422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22422400422422 is an abundant number, since it is smaller than the sum of its proper divisors (23243398553578).

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

22422400422422 is a wasteful number, since it uses less digits than its factorization.

22422400422422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125842821.

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 22422400 and 422422, that added together give a palindrome (22844822).

The spelling of 22422400422422 in words is "twenty-two trillion, four hundred twenty-two billion, four hundred million, four hundred twenty-two thousand, four hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 89 91 143 154 178 182 286 623 979 1001 1157 1246 1958 2002 2314 6853 8099 12727 13706 16198 25454 89089 178178 125842699 251685398 880898893 1384269689 1635955087 1761797786 2768539378 3271910174 9689887823 11200000211 11451685609 17995505957 19379775646 22400000422 22903371218 35991011914 78400001477 123200002321 125968541699 145600002743 156800002954 246400004642 251937083398 291200005486 862400016247 1019200019201 1601600030173 1724800032494 2038400038402 3203200060346 11211200211211 22422400422422