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2257260 = 2235172213
BaseRepresentation
bin1000100111000101101100
311020200101020
420213011230
51034213020
6120214140
725120635
oct10470554
94220336
102257260
111301a05
1290a350
13610575
1442a88c
152e8c40
hex22716c

2257260 has 48 divisors (see below), whose sum is σ = 6695136. Its totient is φ = 566272.

The previous prime is 2257247. The next prime is 2257291. The reversal of 2257260 is 627522.

It is a d-powerful number, because it can be written as 210 + 214 + 59 + 75 + 218 + 65 + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 2257260.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87 + ... + 2126.

It is an arithmetic number, because the mean of its divisors is an integer number (139482).

22257260 is an apocalyptic number.

2257260 is a gapful number since it is divisible by the number (20) 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 2257260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347568).

2257260 is an abundant number, since it is smaller than the sum of its proper divisors (4437876).

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

2257260 is a wasteful number, since it uses less digits than its factorization.

2257260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 2257260 is about 1502.4180510098. The cubic root of 2257260 is about 131.1778560436.

The spelling of 2257260 in words is "two million, two hundred fifty-seven thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 2213 4426 6639 8852 11065 13278 22130 26556 33195 37621 44260 66390 75242 112863 132780 150484 188105 225726 376210 451452 564315 752420 1128630 2257260