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2257104 = 24359797
BaseRepresentation
bin1000100111000011010000
311020200011110
420213003100
51034211404
6120213320
725120323
oct10470320
94220143
102257104
111301883
1290a240
13610485
1442a7ba
152e8b89
hex2270d0

2257104 has 40 divisors (see below), whose sum is σ = 5937120. Its totient is φ = 738688.

The previous prime is 2257103. The next prime is 2257117. The reversal of 2257104 is 4017522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2257103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2434 + ... + 3230.

It is an arithmetic number, because the mean of its divisors is an integer number (148428).

22257104 is an apocalyptic number.

2257104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2257104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968560).

2257104 is an abundant number, since it is smaller than the sum of its proper divisors (3680016).

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

2257104 is a wasteful number, since it uses less digits than its factorization.

2257104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 2257104 is about 1502.3661338036. The cubic root of 2257104 is about 131.1748340587.

The spelling of 2257104 in words is "two million, two hundred fifty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 797 944 1416 1594 2391 2832 3188 4782 6376 9564 12752 19128 38256 47023 94046 141069 188092 282138 376184 564276 752368 1128552 2257104