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2257590 = 23575253
BaseRepresentation
bin1000100111001010110110
311020200211110
420213022312
51034220330
6120215450
725121616
oct10471266
94220743
102257590
111302185
1290a586
1361076a
1442aa46
152e8db0
hex2272b6

2257590 has 16 divisors (see below), whose sum is σ = 5418288. Its totient is φ = 602016.

The previous prime is 2257579. The next prime is 2257597. The reversal of 2257590 is 957522.

It is a happy number.

2257590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 75253 = 2257590 / (2 + 2 + 5 + 7 + 5 + 9 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37597 + ... + 37656.

It is an arithmetic number, because the mean of its divisors is an integer number (338643).

22257590 is an apocalyptic number.

2257590 is an abundant number, since it is smaller than the sum of its proper divisors (3160698).

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

2257590 is a wasteful number, since it uses less digits than its factorization.

2257590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75263.

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 2257590 is about 1502.5278699578. The cubic root of 2257590 is about 131.1842482453.

The spelling of 2257590 in words is "two million, two hundred fifty-seven thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 75253 150506 225759 376265 451518 752530 1128795 2257590