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22421343514140 = 223251011233297223
BaseRepresentation
bin1010001100100011000000…
…01101110010111000011100
32221101110101222110120210100
411012101200031302320130
510414322402414423030
6115404120100541100
74502613536220504
oct506214015627034
987343358416710
1022421343514140
1171649249882aa
1226214a66b1790
13c68428cc323c
145772ad7a2a04
1528d36d411360
hex146460372e1c

22421343514140 has 72 divisors (see below), whose sum is σ = 68684788999008. Its totient is φ = 5919826665600.

The previous prime is 22421343514061. The next prime is 22421343514147. The reversal of 22421343514140 is 4141534312422.

22421343514140 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 134 + 3 + 514 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22421343514095 and 22421343514104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22421343514147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 616630432 + ... + 616666791.

It is an arithmetic number, because the mean of its divisors is an integer number (953955402764).

Almost surely, 222421343514140 is an apocalyptic number.

22421343514140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22421343514140 is an abundant number, since it is smaller than the sum of its proper divisors (46263445484868).

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

22421343514140 is a wasteful number, since it uses less digits than its factorization.

22421343514140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233297339 (or 1233297334 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 22421343514140 its reverse (4141534312422), we get a palindrome (26562877826562).

The spelling of 22421343514140 in words is "twenty-two trillion, four hundred twenty-one billion, three hundred forty-three million, five hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 1233297223 2466594446 3699891669 4933188892 6166486115 7399783338 11099675007 12332972230 14799566676 18499458345 22199350014 24665944460 36998916690 44398700028 55498375035 73997833380 110996750070 124563019523 221993500140 249126039046 373689058569 498252078092 622815097615 747378117138 1121067175707 1245630195230 1494756234276 1868445292845 2242134351414 2491260390460 3736890585690 4484268702828 5605335878535 7473781171380 11210671757070 22421343514140