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880012225 = 521723492
BaseRepresentation
bin110100011100111…
…110101111000001
32021022220020211101
4310130332233001
53300240342400
6223153414401
730543660211
oct6434765701
92238806741
10880012225
11411820234
1220686a401
131104189c1
1484c36241
15523ce56a
hex3473ebc1

880012225 has 27 divisors (see below), whose sum is σ = 1162511067. Its totient is φ = 660698880.

The previous prime is 880012219. The next prime is 880012229. The reversal of 880012225 is 522210088.

The square root of 880012225 is 29665.

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 126180289 + 753831936 = 11233^2 + 27456^2 .

It is not a de Polignac number, because 880012225 - 211 = 880010177 is a prime.

It is a super-2 number, since 2×8800122252 = 1548843032298901250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 880012193 and 880012202.

It is not an unprimeable number, because it can be changed into a prime (880012229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2521351 + ... + 2521699.

Almost surely, 2880012225 is an apocalyptic number.

880012225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

880012225 is the 29665-th square number.

880012225 is the 14833-rd centered octagonal number.

It is an amenable number.

880012225 is a deficient number, since it is larger than the sum of its proper divisors (282498842).

880012225 is an equidigital number, since it uses as much as digits as its factorization.

880012225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The cubic root of 880012225 is about 958.2884089002.

It can be divided in two parts, 8800 and 12225, that added together give a square (21025 = 1452).

The spelling of 880012225 in words is "eight hundred eighty million, twelve thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 289 349 425 1445 1745 5933 7225 8725 29665 100861 121801 148325 504305 609005 2070617 2521525 3045025 10353085 35200489 51765425 176002445 880012225