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1805225472 = 29322317033
BaseRepresentation
bin110101110011001…
…1000111000000000
311122210211221210200
41223212120320000
512144114203342
6455044125200
762510110011
oct15346307000
94583757720
101805225472
11847003686
12424696800
13229ccc66b
14131a77008
15a873b94c
hex6b998e00

1805225472 has 120 divisors (see below), whose sum is σ = 5436843984. Its totient is φ = 575545344.

The previous prime is 1805225459. The next prime is 1805225479. The reversal of 1805225472 is 2745225081.

It is a happy number.

1805225472 is a `hidden beast` number, since 1 + 80 + 522 + 54 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1805225479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97468 + ... + 114500.

Almost surely, 21805225472 is an apocalyptic number.

1805225472 is a gapful number since it is divisible by the number (12) 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 1805225472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718421992).

1805225472 is an abundant number, since it is smaller than the sum of its proper divisors (3631618512).

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

1805225472 is a wasteful number, since it uses less digits than its factorization.

1805225472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17080 (or 17061 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 1805225472 is about 42487.9450197347. The cubic root of 1805225472 is about 1217.6163869133.

The spelling of 1805225472 in words is "one billion, eight hundred five million, two hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1104 1152 1472 1536 1656 2208 2304 2944 3312 4416 4608 5888 6624 8832 11776 13248 17033 17664 26496 34066 35328 51099 52992 68132 102198 105984 136264 153297 204396 272528 306594 391759 408792 545056 613188 783518 817584 1090112 1175277 1226376 1567036 1635168 2180224 2350554 2452752 3134072 3270336 3525831 4360448 4701108 4905504 6268144 6540672 7051662 8720896 9402216 9811008 12536288 13081344 14103324 18804432 19622016 25072576 26162688 28206648 37608864 39244032 50145152 56413296 75217728 78488064 100290304 112826592 150435456 200580608 225653184 300870912 451306368 601741824 902612736 1805225472