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22412414010 = 2357737272011
BaseRepresentation
bin10100110111111000…
…100100110000111010
32010211221220121010210
4110313320210300322
5331400034222020
614143543451550
71422254242620
oct246770446072
963757817123
1022412414010
119561250408
124415a56bb6
13216241bb4c
141128857510
158b29453e0
hex537e24c3a

22412414010 has 128 divisors (see below), whose sum is σ = 62432907264. Its totient is φ = 5043202560.

The previous prime is 22412413999. The next prime is 22412414029. The reversal of 22412414010 is 1041421422.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11143905 + ... + 11145915.

It is an arithmetic number, because the mean of its divisors is an integer number (487757088).

Almost surely, 222412414010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22412414010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31216453632).

22412414010 is an abundant number, since it is smaller than the sum of its proper divisors (40020493254).

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

22412414010 is a wasteful number, since it uses less digits than its factorization.

22412414010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 22412414010 its reverse (1041421422), we get a palindrome (23453835432).

The spelling of 22412414010 in words is "twenty-two billion, four hundred twelve million, four hundred fourteen thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 73 105 146 210 219 365 438 511 727 730 1022 1095 1454 1533 2011 2181 2190 2555 3066 3635 4022 4362 5089 5110 6033 7270 7665 10055 10178 10905 12066 14077 15267 15330 20110 21810 25445 28154 30165 30534 42231 50890 53071 60330 70385 76335 84462 106142 140770 146803 152670 159213 211155 265355 293606 318426 371497 422310 440409 530710 734015 742994 796065 880818 1027621 1114491 1461997 1468030 1592130 1857485 2055242 2202045 2228982 2923994 3082863 3714970 4385991 4404090 5138105 5572455 6165726 7309985 8771982 10233979 10276210 11144910 14619970 15414315 20467958 21929955 30701937 30828630 43859910 51169895 61403874 102339790 106725781 153509685 213451562 307019370 320177343 533628905 640354686 747080467 1067257810 1494160934 1600886715 2241241401 3201773430 3735402335 4482482802 7470804670 11206207005 22412414010