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2216768 = 26191823
BaseRepresentation
bin1000011101001101000000
311011121211112
420131031000
51031414033
6115302452
724561611
oct10351500
94147745
102216768
111284544
128aaa28
135c7cc8
14419c08
152dbc48
hex21d340

2216768 has 28 divisors (see below), whose sum is σ = 4632960. Its totient is φ = 1049472.

The previous prime is 2216761. The next prime is 2216777. The reversal of 2216768 is 8676122.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216761) 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, 305 + ... + 2127.

22216768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316480).

2216768 is an abundant number, since it is smaller than the sum of its proper divisors (2416192).

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

2216768 is a wasteful number, since it uses less digits than its factorization.

2216768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1844 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 2216768 is about 1488.8814593513. The cubic root of 2216768 is about 130.3887377830.

The spelling of 2216768 in words is "two million, two hundred sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 1823 3646 7292 14584 29168 34637 58336 69274 116672 138548 277096 554192 1108384 2216768