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83847889225 = 5229219972
BaseRepresentation
bin100111000010110111…
…0010100000101001001
322000102111121002200201
41032011232110011021
52333210024423400
6102304051132201
76025554204352
oct1160556240511
9260374532621
1083847889225
1132617a47221
12143005a4061
137ba3398949
1440b5c14d29
1522ab1e906a
hex1385b94149

83847889225 has 27 divisors (see below), whose sum is σ = 107734179007. Its totient is φ = 64732834880.

The previous prime is 83847889217. The next prime is 83847889249. The reversal of 83847889225 is 52298874838.

The square root of 83847889225 is 289565.

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

It can be written as a sum of positive squares in 13 ways, for example, as 83707798329 + 140090896 = 289323^2 + 11836^2 .

It is not a de Polignac number, because 83847889225 - 23 = 83847889217 is a prime.

It is a super-2 number, since 2×838478892252 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41985927 + ... + 41987923.

Almost surely, 283847889225 is an apocalyptic number.

83847889225 is the 289565-th square number.

83847889225 is the 144783-rd centered octagonal number.

It is an amenable number.

83847889225 is a deficient number, since it is larger than the sum of its proper divisors (23886289782).

83847889225 is an frugal number, since it uses more digits than its factorization.

83847889225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062 (or 2031 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 64.

Multiplying 83847889225 by its sum of digits (64), we get a square (5366264910400 = 23165202).

The spelling of 83847889225 in words is "eighty-three billion, eight hundred forty-seven million, eight hundred eighty-nine thousand, two hundred twenty-five".

Divisors: 1 5 25 29 145 725 841 1997 4205 9985 21025 49925 57913 289565 1447825 1679477 3988009 8397385 19940045 41986925 99700225 115652261 578261305 2891306525 3353915569 16769577845 83847889225