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243022202220342 = 23412714498118863
BaseRepresentation
bin110111010000011100000100…
…000010010010111100110110
31011212110200210010012222222010
4313100130010002102330312
5223323133432232022332
62220510505231545050
7102121526502366666
oct6720340402227466
91155420703188863
10243022202220342
1170486156639926
122330b3b798b186
13a57ab8408c30c
1444024a19761a6
151d168727759cc
hexdd0704092f36

243022202220342 has 64 divisors (see below), whose sum is σ = 500849472614400. Its totient is φ = 78564603801600.

The previous prime is 243022202220331. The next prime is 243022202220431.

It is a happy number.

243022202220342 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2430222022203422 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25873603 + ... + 33992465.

It is an arithmetic number, because the mean of its divisors is an integer number (7825773009600).

Almost surely, 2243022202220342 is an apocalyptic number.

243022202220342 is an abundant number, since it is smaller than the sum of its proper divisors (257827270394058).

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

243022202220342 is a wasteful number, since it uses less digits than its factorization.

243022202220342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8119629.

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 24302220 and 2220342, that added together give a palindrome (26522562).

The spelling of 243022202220342 in words is "two hundred forty-three trillion, twenty-two billion, two hundred two million, two hundred twenty thousand, three hundred forty-two".

Divisors: 1 2 3 6 41 82 123 246 271 449 542 813 898 1347 1626 2694 11111 18409 22222 33333 36818 55227 66666 110454 121679 243358 365037 730074 4988839 8118863 9977678 14966517 16237726 24356589 29933034 48713178 332873383 665746766 998620149 1997240298 2200211873 3645369487 4400423746 6600635619 7290738974 10936108461 13201271238 21872216922 90208686793 149460148967 180417373586 270626060379 298920297934 448380446901 541252120758 896760893802 987895130977 1975790261954 2963685392931 5927370785862 40503700370057 81007400740114 121511101110171 243022202220342