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22221122211222 = 23112367218483887
BaseRepresentation
bin1010000110101110000100…
…00110001000110110010110
32220200022121012202112202120
411003113002012020312112
510403032324241224342
6115132124223320410
74452265060222464
oct503270206106626
986608535675676
1022221122211222
117097a1a203a30
1225aa728a50106
13c5259ab9b5bc
1456b718155834
15288050825aec
hex1435c2188d96

22221122211222 has 64 divisors (see below), whose sum is σ = 51345461551104. Its totient is φ = 6344772049440.

The previous prime is 22221122211149. The next prime is 22221122211227. The reversal of 22221122211222 is 22211222112222.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 22221122211192 and 22221122211201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22221122211227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109140238 + ... + 109343649.

It is an arithmetic number, because the mean of its divisors is an integer number (802272836736).

Almost surely, 222221122211222 is an apocalyptic number.

22221122211222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22221122211222 is an abundant number, since it is smaller than the sum of its proper divisors (29124339339882).

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

22221122211222 is a wasteful number, since it uses less digits than its factorization.

22221122211222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218483993.

The product of its digits is 1024, while the sum is 24.

Adding to 22221122211222 its reverse (22211222112222), we get a palindrome (44432344323444).

It can be divided in two parts, 2 and 2221122211222, that multiplied together give a palindrome (4442244422444).

The spelling of 22221122211222 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 67 69 134 138 201 253 402 506 737 759 1474 1518 1541 2211 3082 4422 4623 9246 16951 33902 50853 101706 218483887 436967774 655451661 1310903322 2403322757 4806645514 5025129401 7209968271 10050258802 14419936542 14638420429 15075388203 29276840858 30150776406 43915261287 55276423411 87830522574 110552846822 161022624719 165829270233 322045249438 331658540466 336683669867 483067874157 673367339734 966135748314 1010051009601 2020102019202 3703520368537 7407040737074 11110561105611 22221122211222