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22143222101140 = 22572100612245813
BaseRepresentation
bin1010000100011100111101…
…11000110011010010010100
32220101212112012221221012021
411002032132320303102110
510400243304324214030
6115032242241502524
74443536454216100
oct502163670632224
986355465857167
1022143222101140
117067984670268
122597608341a44
13c48134b164ca
14567a48238900
15285ee189b97a
hex14239ee33494

22143222101140 has 72 divisors (see below), whose sum is σ = 54098128840392. Its totient is φ = 7591203889920.

The previous prime is 22143222101111. The next prime is 22143222101149. The reversal of 22143222101140 is 4110122234122.

It can be written as a sum of positive squares in 4 ways, for example, as 3841270727056 + 18301951374084 = 1959916^2 + 4278078^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22143222101149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8736874 + ... + 10982686.

It is an arithmetic number, because the mean of its divisors is an integer number (751362900561).

Almost surely, 222143222101140 is an apocalyptic number.

22143222101140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22143222101140 is an abundant number, since it is smaller than the sum of its proper divisors (31954906739252).

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

22143222101140 is a wasteful number, since it uses less digits than its factorization.

22143222101140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255897 (or 2255888 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 22143222101140 its reverse (4110122234122), we get a palindrome (26253344335262).

The spelling of 22143222101140 in words is "twenty-two trillion, one hundred forty-three billion, two hundred twenty-two million, one hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 10061 20122 40244 50305 70427 100610 140854 201220 281708 352135 492989 704270 985978 1408540 1971956 2245813 2464945 4491626 4929890 8983252 9859780 11229065 15720691 22458130 31441382 44916260 62882764 78603455 110044837 157206910 220089674 314413820 440179348 550224185 1100448370 2200896740 22595124593 45190249186 90380498372 112975622965 158165872151 225951245930 316331744302 451902491860 632663488604 790829360755 1107161105057 1581658721510 2214322210114 3163317443020 4428644420228 5535805525285 11071611050570 22143222101140