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2422306253376 = 2632648492
BaseRepresentation
bin100011001111111100101…
…101000010101001000000
322120120101200120022002100
4203033330231002221000
5304141340400102001
65052443033350400
7340002002300532
oct43177455025100
98516350508070
102422306253376
11854326804529
12331561568400
131475653018b9
1485351353852
1543022d4b586
hex233fcb42a40

2422306253376 has 63 divisors (see below), whose sum is σ = 6943210581801. Its totient is φ = 807422966784.

The previous prime is 2422306253321. The next prime is 2422306253491. The reversal of 2422306253376 is 6733526032242.

The square root of 2422306253376 is 1556376.

It is a perfect power (a square), and thus also a powerful number.

2422306253376 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 306 + 2 + 5 + 337 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1055090534976 + 1367215718400 = 1027176^2 + 1169280^2 .

It is a super-2 number, since 2×24223062533762 (a number of 26 digits) contains 22 as substring.

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 8 ways as a sum of consecutive naturals, for example, 37320600 + ... + 37385448.

Almost surely, 22422306253376 is an apocalyptic number.

2422306253376 is the 1556376-th square number.

It is an amenable number.

2422306253376 is an abundant number, since it is smaller than the sum of its proper divisors (4520904328425).

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

2422306253376 is an frugal number, since it uses more digits than its factorization.

2422306253376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129716 (or 64854 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 2422306253376 in words is "two trillion, four hundred twenty-two billion, three hundred six million, two hundred fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 64849 129698 194547 259396 389094 518792 583641 778188 1037584 1167282 1556376 2075168 2334564 3112752 4150336 4669128 6225504 9338256 12451008 18676512 37353024 4205392801 8410785602 12616178403 16821571204 25232356806 33643142408 37848535209 50464713612 67286284816 75697070418 100929427224 134572569632 151394140836 201858854448 269145139264 302788281672 403717708896 605576563344 807435417792 1211153126688 2422306253376