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2251540 = 225112577
BaseRepresentation
bin1000100101101100010100
311020101112101
420211230110
51034022130
6120131444
725065154
oct10455424
94211471
102251540
1112a8685
12906b84
1360aa95
14428764
152e71ca
hex225b14

2251540 has 12 divisors (see below), whose sum is σ = 4728276. Its totient is φ = 900608.

The previous prime is 2251517. The next prime is 2251547. The reversal of 2251540 is 451522.

It can be written as a sum of positive squares in 2 ways, for example, as 1140624 + 1110916 = 1068^2 + 1054^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251547) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 56269 + ... + 56308.

It is an arithmetic number, because the mean of its divisors is an integer number (394023).

22251540 is an apocalyptic number.

2251540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2251540 is an abundant number, since it is smaller than the sum of its proper divisors (2476736).

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

2251540 is a wasteful number, since it uses less digits than its factorization.

2251540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112586 (or 112584 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 2251540 is about 1500.5132455263. The cubic root of 2251540 is about 131.0669587571.

The spelling of 2251540 in words is "two million, two hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 112577 225154 450308 562885 1125770 2251540