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2265140 = 225373061
BaseRepresentation
bin1000101001000000110100
311021002012002
420221000310
51034441030
6120314432
725152623
oct10510064
94232162
102265140
111307919
12912a18
13614027
1442d6ba
152eb245
hex229034

2265140 has 24 divisors (see below), whose sum is σ = 4886952. Its totient is φ = 881280.

The previous prime is 2265101. The next prime is 2265143. The reversal of 2265140 is 415622.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1240996 + 1024144 = 1114^2 + 1012^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2265143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 791 + ... + 2270.

It is an arithmetic number, because the mean of its divisors is an integer number (203623).

22265140 is an apocalyptic number.

2265140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2265140 is an abundant number, since it is smaller than the sum of its proper divisors (2621812).

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

2265140 is a wasteful number, since it uses less digits than its factorization.

2265140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2265140 is about 1505.0382054951. The cubic root of 2265140 is about 131.3303242258.

The spelling of 2265140 in words is "two million, two hundred sixty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 3061 6122 12244 15305 30610 61220 113257 226514 453028 566285 1132570 2265140