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22153505143040 = 285113153163061
BaseRepresentation
bin1010000100110000000111…
…10011011111100100000000
32220102212001212022120210222
411002120003303133210000
510400430334304034130
6115041102455042212
74444352336511065
oct502300363374400
986385055276728
1022153505143040
1170712811268a7
1225995b8070368
13c490b3344a9b
14568341bd8c6c
152863e4518ce5
hex142603cdf900

22153505143040 has 72 divisors (see below), whose sum is σ = 53534166082488. Its totient is φ = 8782982512640.

The previous prime is 22153505143037. The next prime is 22153505143061. The reversal of 22153505143040 is 4034150535122.

It can be written as a sum of positive squares in 4 ways, for example, as 1062779551744 + 21090725591296 = 1030912^2 + 4592464^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76436891 + ... + 76726170.

It is an arithmetic number, because the mean of its divisors is an integer number (743530084479).

Almost surely, 222153505143040 is an apocalyptic number.

22153505143040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22153505143040 is an abundant number, since it is smaller than the sum of its proper divisors (31380660939448).

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

22153505143040 is a wasteful number, since it uses less digits than its factorization.

22153505143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153163195 (or 153163181 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

Adding to 22153505143040 its reverse (4034150535122), we get a palindrome (26187655678162).

The spelling of 22153505143040 in words is "twenty-two trillion, one hundred fifty-three billion, five hundred five million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 128 160 226 256 320 452 565 640 904 1130 1280 1808 2260 3616 4520 7232 9040 14464 18080 28928 36160 72320 144640 153163061 306326122 612652244 765815305 1225304488 1531630610 2450608976 3063261220 4901217952 6126522440 9802435904 12253044880 17307425893 19604871808 24506089760 34614851786 39209743616 49012179520 69229703572 86537129465 98024359040 138459407144 173074258930 196048718080 276918814288 346148517860 553837628576 692297035720 1107675257152 1384594071440 2215350514304 2769188142880 4430701028608 5538376285760 11076752571520 22153505143040