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2296224506688 = 26371721992737
BaseRepresentation
bin100001011010100001101…
…001010110001101000000
322010111221211111221112120
4201122201221112031000
5300110131433203223
64514512044124240
7324616404160320
oct41324151261500
98114854457476
102296224506688
11805906965082
12311034b36680
131386c1129368
147d1d03dd280
153eae3eb1be3
hex216a1a56340

2296224506688 has 112 divisors (see below), whose sum is σ = 6947387013504. Its totient is φ = 655682273280.

The previous prime is 2296224506663. The next prime is 2296224506747. The reversal of 2296224506688 is 8866054226922.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×22962245066882 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1816656 + ... + 2809392.

It is an arithmetic number, because the mean of its divisors is an integer number (62030241192).

Almost surely, 22296224506688 is an apocalyptic number.

2296224506688 is a gapful number since it is divisible by the number (28) 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 2296224506688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3473693506752).

2296224506688 is an abundant number, since it is smaller than the sum of its proper divisors (4651162506816).

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

2296224506688 is a wasteful number, since it uses less digits than its factorization.

2296224506688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994480 (or 994470 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 2296224506688 in words is "two trillion, two hundred ninety-six billion, two hundred twenty-four million, five hundred six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1721 3442 5163 6884 10326 12047 13768 20652 24094 27536 36141 41304 48188 55072 72282 82608 96376 110144 144564 165216 192752 289128 330432 385504 578256 771008 992737 1156512 1985474 2313024 2978211 3970948 5956422 6949159 7941896 11912844 13898318 15883792 20847477 23825688 27796636 31767584 41694954 47651376 55593272 63535168 83389908 95302752 111186544 166779816 190605504 222373088 333559632 444746176 667119264 1334238528 1708500377 3417000754 5125501131 6834001508 10251002262 11959502639 13668003016 20502004524 23919005278 27336006032 35878507917 41004009048 47838010556 54672012064 71757015834 82008018096 95676021112 109344024128 143514031668 164016036192 191352042224 287028063336 328032072384 382704084448 574056126672 765408168896 1148112253344 2296224506688