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2257389 = 3429312
BaseRepresentation
bin1000100111000111101101
311020200120000
420213013231
51034214024
6120214513
725121211
oct10470755
94220500
102257389
111302012
1290a439
13610644
1442a941
152e8cc9
hex2271ed

2257389 has 30 divisors (see below), whose sum is σ = 3604590. Its totient is φ = 1406160.

The previous prime is 2257373. The next prime is 2257391. The reversal of 2257389 is 9837522.

It is a happy number.

2257389 is a `hidden beast` number, since 2 + 2 + 573 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1946025 + 311364 = 1395^2 + 558^2 .

It is not a de Polignac number, because 2257389 - 24 = 2257373 is a prime.

Its product of digits (30240) is a multiple of the sum of its prime divisors (63).

2257389 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257309) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 72804 + ... + 72834.

It is an arithmetic number, because the mean of its divisors is an integer number (120153).

22257389 is an apocalyptic number.

2257389 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2257389 is a deficient number, since it is larger than the sum of its proper divisors (1347201).

2257389 is an equidigital number, since it uses as much as digits as its factorization.

2257389 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 63 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 2257389 is about 1502.4609811905. The cubic root of 2257389 is about 131.1803548875.

The spelling of 2257389 in words is "two million, two hundred fifty-seven thousand, three hundred eighty-nine".

Divisors: 1 3 9 27 29 31 81 87 93 261 279 783 837 899 961 2349 2511 2697 2883 8091 8649 24273 25947 27869 72819 77841 83607 250821 752463 2257389