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2261925 = 34521117
BaseRepresentation
bin1000101000001110100101
311020220210000
420220032211
51034340200
6120251513
725140351
oct10501645
94226700
102261925
111305466
12910b99
13612723
1442c461
152ea300
hex2283a5

2261925 has 30 divisors (see below), whose sum is σ = 4193618. Its totient is φ = 1205280.

The previous prime is 2261911. The next prime is 2261927. The reversal of 2261925 is 5291622.

2261925 is a `hidden beast` number, since 22 + 619 + 25 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2916 + 2259009 = 54^2 + 1503^2 .

It is not a de Polignac number, because 2261925 - 214 = 2245541 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a Curzon number.

2261925 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261927) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1467 + ... + 2583.

22261925 is an apocalyptic number.

2261925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2261925 is a deficient number, since it is larger than the sum of its proper divisors (1931693).

2261925 is a wasteful number, since it uses less digits than its factorization.

2261925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1125 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 2261925 is about 1503.9697470362. The cubic root of 2261925 is about 131.2681607523.

The spelling of 2261925 in words is "two million, two hundred sixty-one thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 1117 2025 3351 5585 10053 16755 27925 30159 50265 83775 90477 150795 251325 452385 753975 2261925