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2219080 = 235291913
BaseRepresentation
bin1000011101110001001000
311011202000011
420131301020
51032002310
6115321304
724601423
oct10356110
94152004
102219080
111286256
128b0234
135c9086
1441a9ba
152dc78a
hex21dc48

2219080 has 32 divisors (see below), whose sum is σ = 5167800. Its totient is φ = 856576.

The previous prime is 2219059. The next prime is 2219081. The reversal of 2219080 is 809122.

It can be written as a sum of positive squares in 4 ways, for example, as 2090916 + 128164 = 1446^2 + 358^2 .

It is not an unprimeable number, because it can be changed into a prime (2219081) 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, 204 + ... + 2116.

22219080 is an apocalyptic number.

2219080 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 2219080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583900).

2219080 is an abundant number, since it is smaller than the sum of its proper divisors (2948720).

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

2219080 is a wasteful number, since it uses less digits than its factorization.

2219080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 2219080 is about 1489.6576787974. The cubic root of 2219080 is about 130.4340521054.

The spelling of 2219080 in words is "two million, two hundred nineteen thousand, eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1913 3826 7652 9565 15304 19130 38260 55477 76520 110954 221908 277385 443816 554770 1109540 2219080