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22142142343420 = 22511184754491663
BaseRepresentation
bin1010000100011010111101…
…00001110110100011111100
32220101202201222012120001121
411002031132201312203330
510400234101414442140
6115031543150520324
74443500633351311
oct502153641664374
986352658176047
1022142142343420
117067480121310
1225973668060a4
13c47cc2202308
14567984a88d08
15285e7bbb364a
hex14235e8768fc

22142142343420 has 48 divisors (see below), whose sum is σ = 50753099916288. Its totient is φ = 8047328644160.

The previous prime is 22142142343397. The next prime is 22142142343421. The reversal of 22142142343420 is 2434324124122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22142142343421) 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 15 ways as a sum of consecutive naturals, for example, 26839492 + ... + 27652171.

It is an arithmetic number, because the mean of its divisors is an integer number (1057356248256).

Almost surely, 222142142343420 is an apocalyptic number.

22142142343420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142142343420 is an abundant number, since it is smaller than the sum of its proper divisors (28610957572868).

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

22142142343420 is a wasteful number, since it uses less digits than its factorization.

22142142343420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54493530 (or 54493528 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 22142142343420 its reverse (2434324124122), we get a palindrome (24576466467542).

The spelling of 22142142343420 in words is "twenty-two trillion, one hundred forty-two billion, one hundred forty-two million, three hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1847 3694 7388 9235 18470 20317 36940 40634 81268 101585 203170 406340 54491663 108983326 217966652 272458315 544916630 599408293 1089833260 1198816586 2397633172 2997041465 5994082930 11988165860 100646101561 201292203122 402584406244 503230507805 1006461015610 1107107117171 2012922031220 2214214234342 4428428468684 5535535585855 11071071171710 22142142343420