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246961225 = 52724492
BaseRepresentation
bin11101011100001…
…01010001001001
3122012200221010001
432232011101021
51001210224400
640301123001
76056064400
oct1656052111
9565627101
10246961225
11117448695
126a859461
133c21a504
1424b28637
1516a33a6a
hexeb85449

246961225 has 27 divisors (see below), whose sum is σ = 357024117. Its totient is φ = 168967680.

The previous prime is 246961223. The next prime is 246961249. The reversal of 246961225 is 522169642.

The square root of 246961225 is 15715.

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 219961 + 246741264 = 469^2 + 15708^2 .

It is not a de Polignac number, because 246961225 - 21 = 246961223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (246961223) 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, 549801 + ... + 550249.

Almost surely, 2246961225 is an apocalyptic number.

246961225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

246961225 is the 15715-th square number.

246961225 is the 7858-th centered octagonal number.

It is an amenable number.

246961225 is a deficient number, since it is larger than the sum of its proper divisors (110062892).

246961225 is an frugal number, since it uses more digits than its factorization.

246961225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 461 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The cubic root of 246961225 is about 627.3977018785.

It can be divided in two parts, 24696 and 1225, that added together give a square (25921 = 1612).

The spelling of 246961225 in words is "two hundred forty-six million, nine hundred sixty-one thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 449 1225 2245 3143 11225 15715 22001 78575 110005 201601 550025 1008005 1411207 5040025 7056035 9878449 35280175 49392245 246961225