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222413101314222 = 237131663244948889
BaseRepresentation
bin110010100100100010010101…
…111001011011000010101110
31002011111111002102221111122010
4302210202111321123002232
5213123004012414023342
62105011100155302050
764563546663151050
oct6244422571330256
91064444072844563
10222413101314222
116495a959437885
1220b4119574a926
1397146087caa40
143cccbcc8b38d0
151aaa71dab229c
hexca4895e5b0ae

222413101314222 has 64 divisors (see below), whose sum is σ = 547807616778240. Its totient is φ = 58623127467264.

The previous prime is 222413101314211. The next prime is 222413101314251.

222413101314222 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 222413101314222.

It is a congruent number.

It is an unprimeable number.

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, 121566447 + ... + 123382442.

It is an arithmetic number, because the mean of its divisors is an integer number (8559494012160).

Almost surely, 2222413101314222 is an apocalyptic number.

222413101314222 is an abundant number, since it is smaller than the sum of its proper divisors (325394515464018).

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

222413101314222 is a wasteful number, since it uses less digits than its factorization.

222413101314222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244950577.

The product of its (nonzero) digits is 9216, while the sum is 30.

It can be divided in two parts, 22241310 and 1314222, that added together give a palindrome (23555532).

The spelling of 222413101314222 in words is "two hundred twenty-two trillion, four hundred thirteen billion, one hundred one million, three hundred fourteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 1663 3326 4989 9978 11641 21619 23282 34923 43238 64857 69846 129714 151333 302666 453999 907998 244948889 489897778 734846667 1469693334 1714642223 3184335557 3429284446 5143926669 6368671114 9553006671 10287853338 19106013342 22290348899 44580697798 66871046697 133742093394 407350002407 814700004814 1222050007221 2444100014442 2851450016849 5295550031291 5702900033698 8554350050547 10591100062582 15886650093873 17108700101094 31773300187746 37068850219037 74137700438074 111206550657111 222413101314222