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2254122432320 = 26511640375691
BaseRepresentation
bin100000110011010100001…
…010101011011101000000
321222111021200000222002212
4200303110022223131000
5243412420320313240
64443310214401252
7321566153352653
oct40632412533500
97874250028085
102254122432320
11799a713914a0
12304a45060228
13134741710a15
147b1589a589a
153d97cba3165
hex20cd42ab740

2254122432320 has 56 divisors (see below), whose sum is σ = 5855595327648. Its totient is φ = 819680883200.

The previous prime is 2254122432311. The next prime is 2254122432323. The reversal of 2254122432320 is 232342214522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254122432323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 320184326 + ... + 320191365.

Almost surely, 22254122432320 is an apocalyptic number.

2254122432320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2254122432320 is an abundant number, since it is smaller than the sum of its proper divisors (3601472895328).

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

2254122432320 is a wasteful number, since it uses less digits than its factorization.

2254122432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640375719 (or 640375709 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 2254122432320 its reverse (232342214522), we get a palindrome (2486464646842).

The spelling of 2254122432320 in words is "two trillion, two hundred fifty-four billion, one hundred twenty-two million, four hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 640375691 1280751382 2561502764 3201878455 5123005528 6403756910 7044132601 10246011056 12807513820 14088265202 20492022112 25615027640 28176530404 35220663005 40984044224 51230055280 56353060808 70441326010 102460110560 112706121616 140882652020 204920221120 225412243232 281765304040 450824486464 563530608080 1127061216160 2254122432320