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31005225 = 3252413361
BaseRepresentation
bin111011001000…
…1101000101001
32011100020011200
41312101220221
530414131400
63024314413
7524353146
oct166215051
964306150
1031005225
1116557759
12a472a09
1365676b4
1441913cd
152ac6b00
hex1d91a29

31005225 has 36 divisors (see below), whose sum is σ = 56905212. Its totient is φ = 16128000.

The previous prime is 31005199. The next prime is 31005241. The reversal of 31005225 is 52250013.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2585664 + 28419561 = 1608^2 + 5331^2 .

It is not a de Polignac number, because 31005225 - 27 = 31005097 is a prime.

It is a super-2 number, since 2×310052252 = 1922647954601250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31005198 and 31005207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7545 + ... + 10905.

Almost surely, 231005225 is an apocalyptic number.

It is an amenable number.

31005225 is a deficient number, since it is larger than the sum of its proper divisors (25899987).

31005225 is a wasteful number, since it uses less digits than its factorization.

31005225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 31005225 is about 5568.2335619117. The cubic root of 31005225 is about 314.1557134024.

Adding to 31005225 its reverse (52250013), we get a palindrome (83255238).

The spelling of 31005225 in words is "thirty-one million, five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 205 225 369 615 1025 1845 3075 3361 9225 10083 16805 30249 50415 84025 137801 151245 252075 413403 689005 756225 1240209 2067015 3445025 6201045 10335075 31005225