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2931225 = 3521121719
BaseRepresentation
bin1011001011101000011001
312111220212220
423023220121
51222244400
6142454253
733625563
oct13135031
95456786
102931225
111722300
12b94389
137b826b
14564333
153cd7a0
hex2cba19

2931225 has 72 divisors (see below), whose sum is σ = 5937120. Its totient is φ = 1267200.

The previous prime is 2931223. The next prime is 2931241. The reversal of 2931225 is 5221392.

2931225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2931225 - 21 = 2931223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2931195 and 2931204.

It is not an unprimeable number, because it can be changed into a prime (2931221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 154266 + ... + 154284.

It is an arithmetic number, because the mean of its divisors is an integer number (82460).

22931225 is an apocalyptic number.

2931225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2931225 is an abundant number, since it is smaller than the sum of its proper divisors (3005895).

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

2931225 is a wasteful number, since it uses less digits than its factorization.

2931225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 55 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 2931225 is about 1712.0820657901. The cubic root of 2931225 is about 143.1143070264.

The spelling of 2931225 in words is "two million, nine hundred thirty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 11 15 17 19 25 33 51 55 57 75 85 95 121 165 187 209 255 275 285 323 363 425 475 561 605 627 825 935 969 1045 1275 1425 1615 1815 2057 2299 2805 3025 3135 3553 4675 4845 5225 6171 6897 8075 9075 10285 10659 11495 14025 15675 17765 24225 30855 34485 39083 51425 53295 57475 88825 117249 154275 172425 195415 266475 586245 977075 2931225