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2262080 = 2657069
BaseRepresentation
bin1000101000010001000000
311020220222202
420220101000
51034341310
6120252332
725140662
oct10502100
94226882
102262080
111305597
129110a8
13612812
1442c532
152ea3a5
hex228440

2262080 has 28 divisors (see below), whose sum is σ = 5387340. Its totient is φ = 904704.

The previous prime is 2262067. The next prime is 2262103. The reversal of 2262080 is 802622.

It can be written as a sum of positive squares in 2 ways, for example, as 802816 + 1459264 = 896^2 + 1208^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3215 + ... + 3854.

It is an arithmetic number, because the mean of its divisors is an integer number (192405).

22262080 is an apocalyptic number.

2262080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2262080 is an abundant number, since it is smaller than the sum of its proper divisors (3125260).

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

2262080 is an equidigital number, since it uses as much as digits as its factorization.

2262080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7086 (or 7076 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2262080 is about 1504.0212764453. The cubic root of 2262080 is about 131.2711590982.

The spelling of 2262080 in words is "two million, two hundred sixty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 7069 14138 28276 35345 56552 70690 113104 141380 226208 282760 452416 565520 1131040 2262080