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2216464 = 241923317
BaseRepresentation
bin1000011101001000010000
311011121102021
420131020100
51031411324
6115301224
724560665
oct10351020
94147367
102216464
111284298
128aa814
135c7b23
14419a6c
152dbae4
hex21d210

2216464 has 40 divisors (see below), whose sum is σ = 4731840. Its totient is φ = 1001088.

The previous prime is 2216437. The next prime is 2216471. The reversal of 2216464 is 4646122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6834 + ... + 7150.

It is an arithmetic number, because the mean of its divisors is an integer number (118296).

22216464 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 2216464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2365920).

2216464 is an abundant number, since it is smaller than the sum of its proper divisors (2515376).

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

2216464 is a wasteful number, since it uses less digits than its factorization.

2216464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 2216464 is about 1488.7793657893. The cubic root of 2216464 is about 130.3827771550.

The spelling of 2216464 in words is "two million, two hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 19 23 38 46 76 92 152 184 304 317 368 437 634 874 1268 1748 2536 3496 5072 6023 6992 7291 12046 14582 24092 29164 48184 58328 96368 116656 138529 277058 554116 1108232 2216464