Search a number
-
+
22440440312213 = 7211411975699059
BaseRepresentation
bin1010001101000110100100…
…11110010011000110010101
32221110021200212110102220212
411012203102132103012111
510420131010204442323
6115420555043335205
74504161013301600
oct506432236230625
987407625412825
1022440440312213
117171a34598350
122625136081505
13c6a180522c61
145781a1b37337
1528dad9c1bb78
hex1468d2793195

22440440312213 has 96 divisors (see below), whose sum is σ = 29374713244800. Its totient is φ = 16941271603200.

The previous prime is 22440440312209. The next prime is 22440440312219. The reversal of 22440440312213 is 31221304404422.

It is a happy number.

It is not a de Polignac number, because 22440440312213 - 22 = 22440440312209 is a prime.

It is a super-2 number, since 2×224404403122132 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22440440312213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22440440312219) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2477138678 + ... + 2477147736.

It is an arithmetic number, because the mean of its divisors is an integer number (305986596300).

Almost surely, 222440440312213 is an apocalyptic number.

It is an amenable number.

22440440312213 is a deficient number, since it is larger than the sum of its proper divisors (6934272932587).

22440440312213 is a wasteful number, since it uses less digits than its factorization.

22440440312213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9891 (or 9884 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 22440440312213 its reverse (31221304404422), we get a palindrome (53661744716635).

The spelling of 22440440312213 in words is "twenty-two trillion, four hundred forty billion, four hundred forty million, three hundred twelve thousand, two hundred thirteen".

Divisors: 1 7 11 41 49 77 197 287 451 539 569 1379 2009 2167 3157 3983 6259 8077 9059 9653 15169 22099 23329 27881 43813 56539 63413 88847 99649 106183 112093 163303 256619 306691 371419 395773 443891 621929 697543 784651 1143121 1233023 1784623 1796333 2599933 4085609 4353503 4595813 4882801 5154571 5492557 8631161 12492361 12574331 18199531 19630853 28599263 32170691 36081997 50553943 56700281 60418127 73169543 87446527 137415971 200194841 211337411 225194837 252573979 353877601 396901967 512186801 804864973 961911797 1015450487 1479361877 2324711521 2477143207 2778313769 3585307607 5634054811 7108153409 10355533139 11169955357 16272980647 39438383677 41633469967 49757073863 78189687499 113910864529 291434289769 457968169637 547327812493 2040040028383 3205777187459 22440440312213