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BaseRepresentation
bin1000101010011010100000
311021101001200
420222122200
51040132010
6120401200
725205433
oct10523240
94241050
102270880
111311167
12916200
13616821
1443181a
152eccc0
hex22a6a0

2270880 has 144 divisors (see below), whose sum is σ = 8255520. Its totient is φ = 566784.

The previous prime is 2270839. The next prime is 2270893. The reversal of 2270880 is 880722.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27319 + ... + 27401.

It is an arithmetic number, because the mean of its divisors is an integer number (57330).

22270880 is an apocalyptic number.

2270880 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 2270880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127760).

2270880 is an abundant number, since it is smaller than the sum of its proper divisors (5984640).

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

2270880 is a wasteful number, since it uses less digits than its factorization.

2270880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2270880 is about 1506.9439272913. The cubic root of 2270880 is about 131.4411636148.

The spelling of 2270880 in words is "two million, two hundred seventy thousand, eight hundred eighty".