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1683456225 = 352115338501
BaseRepresentation
bin110010001010111…
…1000000011100001
311100022201102210120
41210111320003201
511421431044400
6435014150453
756501066433
oct14425700341
94308642716
101683456225
117942a3640
123ab952429
1320aa06359
1411d81a653
159cbd6ca0
hex645780e1

1683456225 has 48 divisors (see below), whose sum is σ = 3093712704. Its totient is φ = 800800000.

The previous prime is 1683456217. The next prime is 1683456233. The reversal of 1683456225 is 5226543861.

It is an interprime number because it is at equal distance from previous prime (1683456217) and next prime (1683456233).

It is not a de Polignac number, because 1683456225 - 23 = 1683456217 is a prime.

It is a super-2 number, since 2×16834562252 = 5668049722982501250, which contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 24475 + ... + 62975.

It is an arithmetic number, because the mean of its divisors is an integer number (64452348).

Almost surely, 21683456225 is an apocalyptic number.

1683456225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1683456225 is a deficient number, since it is larger than the sum of its proper divisors (1410256479).

1683456225 is a wasteful number, since it uses less digits than its factorization.

1683456225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38578 (or 38573 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 1683456225 is about 41029.9430294511. The cubic root of 1683456225 is about 1189.5990516566.

The spelling of 1683456225 in words is "one billion, six hundred eighty-three million, four hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 25 33 53 55 75 159 165 265 275 583 795 825 1325 1749 2915 3975 8745 14575 38501 43725 115503 192505 423511 577515 962525 1270533 2040553 2117555 2887575 6121659 6352665 10202765 10587775 22446083 30608295 31763325 51013825 67338249 112230415 153041475 336691245 561152075 1683456225