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22302011231120 = 245489869569081
BaseRepresentation
bin1010001001000100101110…
…11101010000101110010000
32220222001101111201111210102
411010202113131100232100
510410344004333343440
6115233222535551532
74461160425442025
oct504422735205620
986861344644712
1022302011231120
117119258a228a5
12260234252b5a8
13c5a0bc25409a
145715ccdcd54c
1528a1d6da2b15
hex144897750b90

22302011231120 has 40 divisors (see below), whose sum is σ = 51852373077240. Its totient is φ = 8920770606080.

The previous prime is 22302011231119. The next prime is 22302011231161. The reversal of 22302011231120 is 2113211020322.

It can be written as a sum of positive squares in 4 ways, for example, as 1340667568384 + 20961343662736 = 1157872^2 + 4578356^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22302011231092 and 22302011231101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38904980 + ... + 39474060.

It is an arithmetic number, because the mean of its divisors is an integer number (1296309326931).

Almost surely, 222302011231120 is an apocalyptic number.

22302011231120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22302011231120 is an abundant number, since it is smaller than the sum of its proper divisors (29550361846120).

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

22302011231120 is a wasteful number, since it uses less digits than its factorization.

22302011231120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058963 (or 1058957 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 22302011231120 its reverse (2113211020322), we get a palindrome (24415222251442).

The spelling of 22302011231120 in words is "twenty-two trillion, three hundred two billion, eleven million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 489869 569081 979738 1138162 1959476 2276324 2449345 2845405 3918952 4552648 4898690 5690810 7837904 9105296 9797380 11381620 19594760 22763240 39189520 45526480 278775140389 557550280778 1115100561556 1393875701945 2230201123112 2787751403890 4460402246224 5575502807780 11151005615560 22302011231120