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2270560 = 25523617
BaseRepresentation
bin1000101010010101100000
311021100121211
420222111200
51040124220
6120355504
725204465
oct10522540
94240554
102270560
1113109a6
12915b94
13616636
1443166c
152ecb5a
hex22a560

2270560 has 48 divisors (see below), whose sum is σ = 5606496. Its totient is φ = 867328.

The previous prime is 2270551. The next prime is 2270591. The reversal of 2270560 is 650722.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3372 + ... + 3988.

It is an arithmetic number, because the mean of its divisors is an integer number (116802).

22270560 is an apocalyptic number.

2270560 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 2270560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803248).

2270560 is an abundant number, since it is smaller than the sum of its proper divisors (3335936).

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

2270560 is a wasteful number, since it uses less digits than its factorization.

2270560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 2270560 is about 1506.8377483989. The cubic root of 2270560 is about 131.4349893346.

The spelling of 2270560 in words is "two million, two hundred seventy thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 617 736 920 1234 1840 2468 3085 3680 4936 6170 9872 12340 14191 19744 24680 28382 49360 56764 70955 98720 113528 141910 227056 283820 454112 567640 1135280 2270560