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674181225 = 34525772
BaseRepresentation
bin101000001011110…
…011000001101001
31201222120221210000
4220023303001221
52340042244400
6150522013213
722464305634
oct5013630151
91658527700
10674181225
11316615373
12169947209
13a989c603
1465776c1b
153e2c2600
hex282f3069

674181225 has 45 divisors (see below), whose sum is σ = 1250984757. Its totient is φ = 358940160.

The previous prime is 674181217. The next prime is 674181227. The reversal of 674181225 is 522181476.

The square root of 674181225 is 25965.

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 190357209 + 483824016 = 13797^2 + 21996^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 674181225 - 23 = 674181217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 674181225.

It is not an unprimeable number, because it can be changed into a prime (674181227) 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 44 ways as a sum of consecutive naturals, for example, 1168137 + ... + 1168713.

Almost surely, 2674181225 is an apocalyptic number.

674181225 is the 25965-th square number.

674181225 is the 12983-rd centered octagonal number.

It is an amenable number.

674181225 is a deficient number, since it is larger than the sum of its proper divisors (576803532).

674181225 is an frugal number, since it uses more digits than its factorization.

674181225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 585 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The cubic root of 674181225 is about 876.8504946052.

Multiplying 674181225 by its sum of digits (36), we get a square (24270524100 = 1557902).

The spelling of 674181225 in words is "six hundred seventy-four million, one hundred eighty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 577 675 1731 2025 2885 5193 8655 14425 15579 25965 43275 46737 77895 129825 233685 332929 389475 998787 1168425 1664645 2996361 4993935 8323225 8989083 14981805 24969675 26967249 44945415 74909025 134836245 224727075 674181225