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31361225 = 527225601
BaseRepresentation
bin111011110100…
…0100011001001
32012000022111212
41313220203021
531012024400
63040102505
7530365100
oct167504311
965008455
1031361225
1116780175
12a604a35
13666074c
144245037
152b47335
hex1de88c9

31361225 has 18 divisors (see below), whose sum is σ = 45238734. Its totient is φ = 21504000.

The previous prime is 31361219. The next prime is 31361227. The reversal of 31361225 is 52216313.

It can be written as a sum of positive squares in 3 ways, for example, as 11102224 + 20259001 = 3332^2 + 4501^2 .

It is a de Polignac number, because none of the positive numbers 2k-31361225 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31361225.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31361227) 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 17 ways as a sum of consecutive naturals, for example, 11576 + ... + 14025.

It is an arithmetic number, because the mean of its divisors is an integer number (2513263).

Almost surely, 231361225 is an apocalyptic number.

31361225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

31361225 is a deficient number, since it is larger than the sum of its proper divisors (13877509).

31361225 is a wasteful number, since it uses less digits than its factorization.

31361225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25625 (or 25613 counting only the distinct ones).

The product of its digits is 1080, while the sum is 23.

The square root of 31361225 is about 5600.1093739319. The cubic root of 31361225 is about 315.3535125828.

Adding to 31361225 its reverse (52216313), we get a palindrome (83577538).

It can be divided in two parts, 3136 and 1225, that multiplied together give a square (3841600 = 19602).

The spelling of 31361225 in words is "thirty-one million, three hundred sixty-one thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 25601 128005 179207 640025 896035 1254449 4480175 6272245 31361225