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2216540 = 225192307
BaseRepresentation
bin1000011101001001011100
311011121112002
420131021130
51031412130
6115301432
724561134
oct10351134
94147462
102216540
111284357
128aa878
135c7b81
14419ac4
152dbb45
hex21d25c

2216540 has 36 divisors (see below), whose sum is σ = 4928616. Its totient is φ = 837216.

The previous prime is 2216519. The next prime is 2216551. The reversal of 2216540 is 456122.

It is a happy number.

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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7067 + ... + 7373.

It is an arithmetic number, because the mean of its divisors is an integer number (136906).

22216540 is an apocalyptic number.

2216540 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 2216540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464308).

2216540 is an abundant number, since it is smaller than the sum of its proper divisors (2712076).

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

2216540 is a wasteful number, since it uses less digits than its factorization.

2216540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2216540 is about 1488.8048898361. The cubic root of 2216540 is about 130.3842673631.

The spelling of 2216540 in words is "two million, two hundred sixteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 307 361 380 614 722 1228 1444 1535 1805 3070 3610 5833 6140 7220 11666 23332 29165 58330 110827 116660 221654 443308 554135 1108270 2216540