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2225025 = 3252112931
BaseRepresentation
bin1000011111001110000001
311012001011100
420133032001
51032200100
6115405013
724624645
oct10371601
94161140
102225025
11128a770
128b3769
135cb9aa
1441cc25
152de400
hex21f381

2225025 has 72 divisors (see below), whose sum is σ = 4642560. Its totient is φ = 1008000.

The previous prime is 2225021. The next prime is 2225039. The reversal of 2225025 is 5205222.

It is not a de Polignac number, because 2225025 - 22 = 2225021 is a prime.

It is a Curzon number.

2225025 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2224989 and 2225007.

It is not an unprimeable number, because it can be changed into a prime (2225021) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71760 + ... + 71790.

It is an arithmetic number, because the mean of its divisors is an integer number (64480).

22225025 is an apocalyptic number.

2225025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2225025 is an abundant number, since it is smaller than the sum of its proper divisors (2417535).

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

2225025 is a wasteful number, since it uses less digits than its factorization.

2225025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 2225025 is about 1491.6517690131. The cubic root of 2225025 is about 130.5504275101.

The spelling of 2225025 in words is "two million, two hundred twenty-five thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 29 31 33 45 55 75 87 93 99 145 155 165 225 261 275 279 319 341 435 465 495 725 775 825 899 957 1023 1305 1395 1595 1705 2175 2325 2475 2697 2871 3069 4495 4785 5115 6525 6975 7975 8091 8525 9889 13485 14355 15345 22475 23925 25575 29667 40455 49445 67425 71775 76725 89001 148335 202275 247225 445005 741675 2225025