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222014141140340 = 225196537457119983
BaseRepresentation
bin110010011110101110110010…
…000001001000110101110100
31002010002100022012222202220202
4302132232302001020311310
5213044434430112442330
62104103515522220032
764522664245503053
oct6236566201106564
91063070265882822
10222014141140340
116481673986020a
1220a979b27b4618
1396b5ac7732233
143cb778286839a
151aa016d615445
hexc9ebb2048d74

222014141140340 has 96 divisors (see below), whose sum is σ = 491589671569920. Its totient is φ = 83990870839296.

The previous prime is 222014141140331. The next prime is 222014141140343. The reversal of 222014141140340 is 43041141410222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222014141140343) 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, 1850319989 + ... + 1850439971.

It is an arithmetic number, because the mean of its divisors is an integer number (5120725745520).

Almost surely, 2222014141140340 is an apocalyptic number.

222014141140340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222014141140340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245794835784960).

222014141140340 is an abundant number, since it is smaller than the sum of its proper divisors (269575530429580).

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

222014141140340 is a wasteful number, since it uses less digits than its factorization.

222014141140340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128121 (or 128119 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 222014141140340 its reverse (43041141410222), we get a palindrome (265055282550562).

The spelling of 222014141140340 in words is "two hundred twenty-two trillion, fourteen billion, one hundred forty-one million, one hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 653 1306 2612 3265 6530 7457 12407 13060 14914 24814 29828 37285 49628 62035 74570 119983 124070 141683 149140 239966 248140 283366 479932 566732 599915 708415 1199830 1416830 2279677 2399660 2833660 4559354 4869421 9118708 9738842 11398385 19477684 22796770 24347105 45593540 48694210 78348899 92518999 97388420 156697798 185037998 313395596 370075996 391744495 462594995 783488990 894713231 925189990 1488629081 1566977980 1789426462 1850379980 2977258162 3578852924 4473566155 5954516324 7443145405 8947132310 14886290810 16999551389 17894264620 29772581620 33999102778 67998205556 84997756945 169995513890 339991027780 584247739843 1168495479686 2336990959372 2921238699215 5842477398430 11100707057017 11684954796860 22201414114034 44402828228068 55503535285085 111007070570170 222014141140340