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2245140 = 2232512473
BaseRepresentation
bin1000100100001000010100
311020001202100
420210020110
51033321030
6120042100
725040412
oct10441024
94201670
102245140
1112a3897
12903330
13607bb1
144262b2
152e5360
hex224214

2245140 has 36 divisors (see below), whose sum is σ = 6810804. Its totient is φ = 598656.

The previous prime is 2245121. The next prime is 2245141. The reversal of 2245140 is 415422.

It can be written as a sum of positive squares in 2 ways, for example, as 1192464 + 1052676 = 1092^2 + 1026^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6057 + ... + 6416.

It is an arithmetic number, because the mean of its divisors is an integer number (189189).

22245140 is an apocalyptic number.

2245140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245140 is an abundant number, since it is smaller than the sum of its proper divisors (4565664).

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

2245140 is a wasteful number, since it uses less digits than its factorization.

2245140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12488 (or 12483 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2245140 is about 1498.3791242539. The cubic root of 2245140 is about 130.9426550090.

The spelling of 2245140 in words is "two million, two hundred forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12473 24946 37419 49892 62365 74838 112257 124730 149676 187095 224514 249460 374190 449028 561285 748380 1122570 2245140