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2216960 = 2105433
BaseRepresentation
bin1000011101010000000000
311011122002122
420131100000
51031420320
6115303412
724562304
oct10352000
94148078
102216960
1112846a9
128aab68
135c8115
14419d04
152dbd25
hex21d400

2216960 has 44 divisors (see below), whose sum is σ = 5330388. Its totient is φ = 884736.

The previous prime is 2216957. The next prime is 2216969. The reversal of 2216960 is 696122.

It can be written as a sum of positive squares in 2 ways, for example, as 495616 + 1721344 = 704^2 + 1312^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4904 + ... + 5336.

22216960 is an apocalyptic number.

2216960 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 2216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665194).

2216960 is an abundant number, since it is smaller than the sum of its proper divisors (3113428).

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

2216960 is an equidigital number, since it uses as much as digits as its factorization.

2216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 2216960 is about 1488.9459358889. The cubic root of 2216960 is about 130.3925021094.

The spelling of 2216960 in words is "two million, two hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 433 512 640 866 1024 1280 1732 2165 2560 3464 4330 5120 6928 8660 13856 17320 27712 34640 55424 69280 110848 138560 221696 277120 443392 554240 1108480 2216960