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2255320431232 = 271119163517207
BaseRepresentation
bin100000110100011011100…
…100101011101010000000
321222121101011021121122221
4200310123210223222000
5243422344012244412
64444025131540424
7321640641235111
oct40643344535200
97877334247587
102255320431232
1179a526650840
1230511a2ba714
131348a298440b
147b22db34208
153d9ece45b07
hex20d1b92ba80

2255320431232 has 128 divisors (see below), whose sum is σ = 5191113254400. Its totient is φ = 965230525440.

The previous prime is 2255320431193. The next prime is 2255320431241. The reversal of 2255320431232 is 2321340235522.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4101973 + ... + 4619179.

It is an arithmetic number, because the mean of its divisors is an integer number (40555572300).

Almost surely, 22255320431232 is an apocalyptic number.

2255320431232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2255320431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2595556627200).

2255320431232 is an abundant number, since it is smaller than the sum of its proper divisors (2935792823168).

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

2255320431232 is a wasteful number, since it uses less digits than its factorization.

2255320431232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517414 (or 517402 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

Adding to 2255320431232 its reverse (2321340235522), we get a palindrome (4576660666754).

The spelling of 2255320431232 in words is "two trillion, two hundred fifty-five billion, three hundred twenty million, four hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 163 176 209 304 326 352 418 608 652 704 836 1216 1304 1408 1672 1793 2432 2608 3097 3344 3586 5216 6194 6688 7172 10432 12388 13376 14344 20864 24776 26752 28688 34067 49552 57376 68134 99104 114752 136268 198208 229504 272536 396416 517207 545072 1034414 1090144 2068828 2180288 4137656 4360576 5689277 8275312 9826933 11378554 16550624 19653866 22757108 33101248 39307732 45514216 66202496 78615464 84304741 91028432 108096263 157230928 168609482 182056864 216192526 314461856 337218964 364113728 432385052 628923712 674437928 728227456 864770104 927352151 1257847424 1348875856 1601790079 1729540208 1854704302 2697751712 3203580158 3459080416 3709408604 5395503424 6407160316 6918160832 7418817208 10791006848 12814320632 13836321664 14837634416 17619690869 25628641264 29675268832 35239381738 51257282528 59350537664 70478763476 102514565056 118701075328 140957526952 205029130112 281915053904 563830107808 1127660215616 2255320431232