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225482067504 = 24324875635711
BaseRepresentation
bin1101000111111111000…
…1110100111000110000
3210120000020021211121100
43101333301310320300
512143241402130004
6251330211124400
722201440644001
oct3217761647060
9716006254540
10225482067504
1187698826721
12378495a3700
131835569c425
14acb04b31a8
155cea61b739
hex347fc74e30

225482067504 has 120 divisors (see below), whose sum is σ = 633566449152. Its totient is φ = 74860018560.

The previous prime is 225482067479. The next prime is 225482067523. The reversal of 225482067504 is 405760284522.

225482067504 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 82 + 0 + 67 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 225482067504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39479209 + ... + 39484919.

Almost surely, 2225482067504 is an apocalyptic number.

225482067504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225482067504 is an abundant number, since it is smaller than the sum of its proper divisors (408084381648).

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

225482067504 is a wasteful number, since it uses less digits than its factorization.

225482067504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6775 (or 6766 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 225482067504 in words is "two hundred twenty-five billion, four hundred eighty-two million, sixty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 487 563 974 1126 1461 1689 1948 2252 2922 3378 3896 4383 4504 5067 5711 5844 6756 7792 8766 9008 10134 11422 11688 13512 17133 17532 20268 22844 23376 27024 34266 35064 40536 45688 51399 68532 70128 81072 91376 102798 137064 205596 274128 274181 411192 548362 822384 822543 1096724 1645086 2193448 2467629 2781257 3215293 3290172 4386896 4935258 5562514 6430586 6580344 8343771 9645879 9870516 11125028 12861172 13160688 16687542 19291758 19741032 22250056 25031313 25722344 28937637 33375084 38583516 39482064 44500112 50062626 51444688 57875274 66750168 77167032 100125252 115750548 133500336 154334064 200250504 231501096 400501008 463002192 1565847691 3131695382 4697543073 6263390764 9395086146 12526781528 14092629219 18790172292 25053563056 28185258438 37580344584 56370516876 75160689168 112741033752 225482067504