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2215116 = 2232371663
BaseRepresentation
bin1000011100110011001100
311011112120100
420130303030
51031340431
6115251100
724554031
oct10346314
94145510
102215116
111283282
128a9a90
135c7327
14419388
152db4e6
hex21cccc

2215116 has 36 divisors (see below), whose sum is σ = 5754112. Its totient is φ = 717984.

The previous prime is 2215111. The next prime is 2215127. The reversal of 2215116 is 6115122.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2215111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 501 + ... + 2163.

22215116 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 2215116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877056).

2215116 is an abundant number, since it is smaller than the sum of its proper divisors (3538996).

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

2215116 is a wasteful number, since it uses less digits than its factorization.

2215116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1705 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 2215116 is about 1488.3265770657. The cubic root of 2215116 is about 130.3563399069.

The spelling of 2215116 in words is "two million, two hundred fifteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1663 3326 4989 6652 9978 14967 19956 29934 59868 61531 123062 184593 246124 369186 553779 738372 1107558 2215116