Search a number
-
+
22142414444022 = 23222325721464189
BaseRepresentation
bin1010000100011011011101…
…01111110101010111110110
32220101210102221012200220200
411002031232233311113312
510400240131044202042
6115032030150541330
74443510446231445
oct502155657652766
986353387180820
1022142414444022
1170675aa77a544
122597421967846
13c480366b22a2
145679acc78d5c
15285e95a10c4c
hex14236ebf55f6

22142414444022 has 48 divisors (see below), whose sum is σ = 48377880270720. Its totient is φ = 7319116394496.

The previous prime is 22142414444021. The next prime is 22142414444023. The reversal of 22142414444022 is 22044441424122.

22142414444022 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 241 + 4 + 4 + 4 + 402 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (22142414444021) and next prime (22142414444023).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22142414444021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9700497 + ... + 11763692.

It is an arithmetic number, because the mean of its divisors is an integer number (1007872505640).

Almost surely, 222142414444022 is an apocalyptic number.

22142414444022 is an abundant number, since it is smaller than the sum of its proper divisors (26235465826698).

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

22142414444022 is a wasteful number, since it uses less digits than its factorization.

22142414444022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21464677 (or 21464674 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 22142414444022 its reverse (22044441424122), we get a palindrome (44186855868144).

The spelling of 22142414444022 in words is "twenty-two trillion, one hundred forty-two billion, four hundred fourteen million, four hundred forty-four thousand, twenty-two".

Divisors: 1 2 3 6 9 18 223 257 446 514 669 771 1338 1542 2007 2313 4014 4626 57311 114622 171933 343866 515799 1031598 21464189 42928378 64392567 128785134 193177701 386355402 4786514147 5516296573 9573028294 11032593146 14359542441 16548889719 28719084882 33097779438 43078627323 49646669157 86157254646 99293338314 1230134135779 2460268271558 3690402407337 7380804814674 11071207222011 22142414444022