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22322400343141 = 1672714098111487
BaseRepresentation
bin1010001001101010101101…
…01111100011010001100101
32221001000000110102201101111
411010311112233203101211
510411212233441440031
6115250434045225021
74462511614152223
oct504652657432145
987030013381344
1022322400343141
1171269710604a8
122606292862171
13c5bcbb42a502
145725a4c43b13
1528a9cbd811b1
hex144d56be3465

22322400343141 has 32 divisors (see below), whose sum is σ = 22637111132160. Its totient is φ = 22010800809600.

The previous prime is 22322400343109. The next prime is 22322400343207. The reversal of 22322400343141 is 14134300422322.

It is a cyclic number.

It is not a de Polignac number, because 22322400343141 - 25 = 22322400343109 is a prime.

It is a super-3 number, since 3×223224003431413 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22322400343241) 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 31 ways as a sum of consecutive naturals, for example, 15011700900 + ... + 15011702386.

It is an arithmetic number, because the mean of its divisors is an integer number (707409722880).

Almost surely, 222322400343141 is an apocalyptic number.

It is an amenable number.

22322400343141 is a deficient number, since it is larger than the sum of its proper divisors (314710789019).

22322400343141 is a wasteful number, since it uses less digits than its factorization.

22322400343141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 22322400343141 its reverse (14134300422322), we get a palindrome (36456700765463).

The spelling of 22322400343141 in words is "twenty-two trillion, three hundred twenty-two billion, four hundred million, three hundred forty-three thousand, one hundred forty-one".

Divisors: 1 167 271 409 811 1487 45257 68303 110839 135437 219781 248329 331699 402977 608183 1205957 18510113 36703427 55393733 67297159 89890429 101566561 164817593 201394819 326814347 493236413 15011701643 27524538031 54577995949 82370480971 133667067923 22322400343141