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22142203314440 = 23511435171156403
BaseRepresentation
bin1010000100011011000100…
…01010011100000100001000
32220101202220012221012120112
411002031202022130010020
510400234213022030230
6115031553205413452
74443502303531346
oct502154212340410
986352805835515
1022142203314440
117067501585790
12259738310a288
13c48001a2c241
1456798cbda996
15285e82208d95
hex14236229c108

22142203314440 has 64 divisors (see below), whose sum is σ = 54350340413760. Its totient is φ = 8051518309120.

The previous prime is 22142203314437. The next prime is 22142203314449. The reversal of 22142203314440 is 4441330224122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22142203314397 and 22142203314406.

It is not an unprimeable number, because it can be changed into a prime (22142203314449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18569279 + ... + 19725681.

It is an arithmetic number, because the mean of its divisors is an integer number (849224068965).

Almost surely, 222142203314440 is an apocalyptic number.

22142203314440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22142203314440 is an abundant number, since it is smaller than the sum of its proper divisors (32208137099320).

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

22142203314440 is a wasteful number, since it uses less digits than its factorization.

22142203314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199942 (or 1199938 counting only the distinct ones).

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

Adding to 22142203314440 its reverse (4441330224122), we get a palindrome (26583533538562).

The spelling of 22142203314440 in words is "twenty-two trillion, one hundred forty-two billion, two hundred three million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 43517 87034 174068 217585 348136 435170 478687 870340 957374 1156403 1740680 1914748 2312806 2393435 3829496 4625612 4786870 5782015 9251224 9573740 11564030 12720433 19147480 23128060 25440866 46256120 50881732 63602165 101763464 127204330 254408660 508817320 50323189351 100646378702 201292757404 251615946755 402585514808 503231893510 553555082861 1006463787020 1107110165722 2012927574040 2214220331444 2767775414305 4428440662888 5535550828610 11071101657220 22142203314440