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31225000 = 23551249
BaseRepresentation
bin111011100011…
…1010010101000
32011202101122111
41313013102220
530443200000
63033132104
7526256662
oct167072250
964671574
1031225000
1116697894
12a55a034
136613741
14420b532
152b1bcba
hex1dc74a8

31225000 has 48 divisors (see below), whose sum is σ = 73237500. Its totient is φ = 12480000.

The previous prime is 31224997. The next prime is 31225031. The reversal of 31225000 is 52213.

It can be written as a sum of positive squares in 6 ways, for example, as 4743684 + 26481316 = 2178^2 + 5146^2 .

It is a super-3 number, since 3×312250003 (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 24376 + ... + 25624.

Almost surely, 231225000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36618750).

31225000 is an abundant number, since it is smaller than the sum of its proper divisors (42012500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31225000 is an equidigital number, since it uses as much as digits as its factorization.

31225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 31225000 is about 5587.9334283794. The cubic root of 31225000 is about 314.8962453285.

Adding to 31225000 its reverse (52213), we get a palindrome (31277213).

The spelling of 31225000 in words is "thirty-one million, two hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1249 1250 2498 2500 3125 4996 5000 6245 6250 9992 12490 12500 24980 25000 31225 49960 62450 124900 156125 249800 312250 624500 780625 1249000 1561250 3122500 3903125 6245000 7806250 15612500 31225000