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2224444680 = 233453122147
BaseRepresentation
bin1000010010010110…
…0101010100001000
312202000200111110000
42010211211110020
514023424212210
61004421323000
7106060316313
oct20445452410
95660614400
102224444680
11a41706237
12520b66460
13295b0cb73
1417160197a
15d0449ac0
hex84965508

2224444680 has 160 divisors (see below), whose sum is σ = 7718135040. Its totient is φ = 574024320.

The previous prime is 2224444657. The next prime is 2224444687. The reversal of 2224444680 is 864444222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2224444687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89367 + ... + 111513.

It is an arithmetic number, because the mean of its divisors is an integer number (48238344).

Almost surely, 22224444680 is an apocalyptic number.

2224444680 is a gapful number since it is divisible by the number (20) 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 2224444680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859067520).

2224444680 is an abundant number, since it is smaller than the sum of its proper divisors (5493690360).

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

2224444680 is a wasteful number, since it uses less digits than its factorization.

2224444680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22201 (or 22188 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 2224444680 is about 47164.0189127263. The cubic root of 2224444680 is about 1305.3907668462.

The spelling of 2224444680 in words is "two billion, two hundred twenty-four million, four hundred forty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 81 90 93 108 120 124 135 155 162 180 186 216 248 270 279 310 324 360 372 405 465 540 558 620 648 744 810 837 930 1080 1116 1240 1395 1620 1674 1860 2232 2511 2790 3240 3348 3720 4185 5022 5580 6696 8370 10044 11160 12555 16740 20088 22147 25110 33480 44294 50220 66441 88588 100440 110735 132882 177176 199323 221470 265764 332205 398646 442940 531528 597969 664410 686557 797292 885880 996615 1195938 1328820 1373114 1594584 1793907 1993230 2059671 2391876 2657640 2746228 2989845 3432785 3587814 3986460 4119342 4783752 5492456 5979690 6179013 6865570 7175628 7972920 8238684 8969535 10298355 11959380 12358026 13731140 14351256 16477368 17939070 18537039 20596710 23918760 24716052 27462280 30895065 35878140 37074078 41193420 49432104 55611117 61790130 71756280 74148156 82386840 92685195 111222234 123580260 148296312 185370390 222444468 247160520 278055585 370740780 444888936 556111170 741481560 1112222340 2224444680