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22221122222120 = 2356416949124717
BaseRepresentation
bin1010000110101110000100…
…00110001011100000101000
32220200022121012210002201012
411003113002012023200220
510403032324242101440
6115132124223443052
74452265060266323
oct503270206134050
986608535702635
1022221122222120
117097a1a211138
1225aa728a56488
13c5259aba3553
1456b7181597ba
15288050828e65
hex1435c218b828

22221122222120 has 64 divisors (see below), whose sum is σ = 50083131978000. Its totient is φ = 8873234104320.

The previous prime is 22221122222119. The next prime is 22221122222129. The reversal of 22221122222120 is 2122222112222.

It can be written as a sum of positive squares in 8 ways, for example, as 21575114589604 + 646007632516 = 4644902^2 + 803746^2 .

It is not an unprimeable number, because it can be changed into a prime (22221122222129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178110002 + ... + 178234718.

Almost surely, 222221122222120 is an apocalyptic number.

22221122222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22221122222120 is an abundant number, since it is smaller than the sum of its proper divisors (27862009755880).

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

22221122222120 is a wasteful number, since it uses less digits than its factorization.

22221122222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132318 (or 132314 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 22221122222120 its reverse (2122222112222), we get a palindrome (24343344334342).

The spelling of 22221122222120 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 641 1282 2564 3205 5128 6410 6949 12820 13898 25640 27796 34745 55592 69490 124717 138980 249434 277960 498868 623585 997736 1247170 2494340 4454309 4988680 8908618 17817236 22271545 35634472 44543090 79943597 89086180 159887194 178172360 319774388 399717985 639548776 799435970 866658433 1598871940 1733316866 3197743880 3466633732 4333292165 6933267464 8666584330 17333168660 34666337320 555528055553 1111056111106 2222112222212 2777640277765 4444224444424 5555280555530 11110561111060 22221122222120