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1800225 = 34527127
BaseRepresentation
bin110110111100000100001
310101110110000
412313200201
5430101400
6102330213
721205320
oct6674041
93343400
101800225
11101a599
12729969
134b052b
1434c0b7
15258600
hex1b7821

1800225 has 60 divisors (see below), whose sum is σ = 3841024. Its totient is φ = 816480.

The previous prime is 1800221. The next prime is 1800257. The reversal of 1800225 is 5220081.

It is not a de Polignac number, because 1800225 - 22 = 1800221 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1800198 and 1800207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1800221) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14112 + ... + 14238.

21800225 is an apocalyptic number.

1800225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1800225 is an abundant number, since it is smaller than the sum of its proper divisors (2040799).

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

1800225 is a wasteful number, since it uses less digits than its factorization.

1800225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1800225 is about 1341.7246364288. The cubic root of 1800225 is about 121.6491082020.

It can be divided in two parts, 1800 and 225, that added together give a square (2025 = 452).

The spelling of 1800225 in words is "one million, eight hundred thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 127 135 175 189 225 315 381 405 525 567 635 675 889 945 1143 1575 1905 2025 2667 2835 3175 3429 4445 4725 5715 8001 9525 10287 13335 14175 17145 22225 24003 28575 40005 51435 66675 72009 85725 120015 200025 257175 360045 600075 1800225