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123988225 = 521721312
BaseRepresentation
bin1110110001111…
…10100100000001
322122022020212111
413120332210001
5223220110400
620145255321
73033611464
oct730764401
9278266774
10123988225
1163a96209
1235634541
131c8c231a
14126772db
15ad423ba
hex763e901

123988225 has 27 divisors (see below), whose sum is σ = 164577481. Its totient is φ = 92643200.

The previous prime is 123988219. The next prime is 123988229. The reversal of 123988225 is 522889321.

The square root of 123988225 is 11135.

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 2900209 + 121088016 = 1703^2 + 11004^2 .

It is not a de Polignac number, because 123988225 - 23 = 123988217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123988229) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 946410 + ... + 946540.

Almost surely, 2123988225 is an apocalyptic number.

123988225 is the 11135-th square number.

123988225 is the 5568-th centered octagonal number.

It is an amenable number.

123988225 is a deficient number, since it is larger than the sum of its proper divisors (40589256).

123988225 is an equidigital number, since it uses as much as digits as its factorization.

123988225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 153 counting only the distinct ones).

The product of its digits is 69120, while the sum is 40.

The cubic root of 123988225 is about 498.6473104287.

The spelling of 123988225 in words is "one hundred twenty-three million, nine hundred eighty-eight thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 131 289 425 655 1445 2227 3275 7225 11135 17161 37859 55675 85805 189295 291737 429025 946475 1458685 4959529 7293425 24797645 123988225