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2226444446450 = 252759819113163
BaseRepresentation
bin100000011001100010011…
…011100010101011110010
321212211211202000121022002
4200121202123202223302
5242434224234241300
64422451531214002
7316566240353420
oct40314233425362
97784752017262
102226444446450
11789258935004
122bb5bb8a7302
13131c5042aba3
1479a90aba110
153cdacd485d5
hex206626e2af2

2226444446450 has 96 divisors (see below), whose sum is σ = 4813954744320. Its totient is φ = 750265588800.

The previous prime is 2226444446431. The next prime is 2226444446503. The reversal of 2226444446450 is 546444446222.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2226444446395 and 2226444446404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169137569 + ... + 169150731.

It is an arithmetic number, because the mean of its divisors is an integer number (50145361920).

Almost surely, 22226444446450 is an apocalyptic number.

2226444446450 is an abundant number, since it is smaller than the sum of its proper divisors (2587510297870).

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

2226444446450 is a wasteful number, since it uses less digits than its factorization.

2226444446450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21432 (or 21427 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 47.

The spelling of 2226444446450 in words is "two trillion, two hundred twenty-six billion, four hundred forty-four million, four hundred forty-six thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 50 59 70 118 175 295 350 413 590 826 1475 2065 2950 4130 8191 10325 13163 16382 20650 26326 40955 57337 65815 81910 92141 114674 131630 184282 204775 286685 329075 409550 460705 483269 573370 658150 776617 921410 966538 1433425 1553234 2303525 2416345 2866850 3382883 3883085 4607050 4832690 5436319 6765766 7766170 10872638 12081725 16914415 19415425 24163450 27181595 33828830 38830850 54363190 84572075 107818133 135907975 169144150 215636266 271815950 539090665 754726931 1078181330 1509453862 2695453325 3773634655 5390906650 6361269847 7547269310 12722539694 18868173275 31806349235 37736346550 44528888929 63612698470 89057777858 159031746175 222644444645 318063492350 445288889290 1113222223225 2226444446450