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22034210331232 = 251199316303211
BaseRepresentation
bin1010000001010001111010…
…10001111001101001100000
32220000110011000002020122201
411000220331101321221200
510342002030321044412
6114510213153142544
74432630162365661
oct500507521715140
986013130066581
1022034210331232
117025724335040
12257a46455aa54
13c3aa81295448
145626663bb368
1528326140ce57
hex140a3d479a60

22034210331232 has 48 divisors (see below), whose sum is σ = 47328247197504. Its totient is φ = 10014540048000.

The previous prime is 22034210331223. The next prime is 22034210331233. The reversal of 22034210331232 is 23213301243022.

It is a self number, because there is not a number n which added to its sum of digits gives 22034210331232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22034210331233) by changing a digit.

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, 344107 + ... + 6647317.

It is an arithmetic number, because the mean of its divisors is an integer number (986005149948).

Almost surely, 222034210331232 is an apocalyptic number.

22034210331232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22034210331232 is an abundant number, since it is smaller than the sum of its proper divisors (25294036866272).

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

22034210331232 is a wasteful number, since it uses less digits than its factorization.

22034210331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6313163 (or 6313155 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 22034210331232 its reverse (23213301243022), we get a palindrome (45247511574254).

The spelling of 22034210331232 in words is "twenty-two trillion, thirty-four billion, two hundred ten million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 9931 19862 39724 79448 109241 158896 218482 317792 436964 873928 1747856 3495712 6303211 12606422 25212844 50425688 69335321 100851376 138670642 201702752 277341284 554682568 1109365136 2218730272 62597188441 125194376882 250388753764 500777507528 688569072851 1001555015056 1377138145702 2003110030112 2754276291404 5508552582808 11017105165616 22034210331232