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83414104225 = 5247212292
BaseRepresentation
bin100110110101111011…
…1100011100010100001
321222022021100112112121
41031223313203202201
52331313002313400
6102153033424241
76012036121144
oct1155367434241
9258267315477
1083414104225
11324150a6121
12141bb26b081
137b3455862a
14407437805b
1522830b021a
hex136bde38a1

83414104225 has 27 divisors (see below), whose sum is σ = 105767084857. Its totient is φ = 65258326880.

The previous prime is 83414104099. The next prime is 83414104229. The reversal of 83414104225 is 52240141438.

The square root of 83414104225 is 288815.

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

It can be written as a sum of positive squares in 4 ways, for example, as 21269597281 + 62144506944 = 145841^2 + 249288^2 .

It is not a de Polignac number, because 83414104225 - 27 = 83414104097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83414104229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 67870911 + ... + 67872139.

Almost surely, 283414104225 is an apocalyptic number.

83414104225 is the 288815-th square number.

83414104225 is the 144408-th centered octagonal number.

It is an amenable number.

83414104225 is a deficient number, since it is larger than the sum of its proper divisors (22352980632).

83414104225 is an frugal number, since it uses more digits than its factorization.

83414104225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2562 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 83414104225 in words is "eighty-three billion, four hundred fourteen million, one hundred four thousand, two hundred twenty-five".

Divisors: 1 5 25 47 235 1175 1229 2209 6145 11045 30725 55225 57763 288815 1444075 1510441 2714861 7552205 13574305 37761025 67871525 70990727 354953635 1774768175 3336564169 16682820845 83414104225