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2213984 = 25431609
BaseRepresentation
bin1000011100100001100000
311011111000102
420130201200
51031321414
6115241532
724550523
oct10344140
94144012
102213984
111282443
128a92a8
135c6966
14418bba
152daede
hex21c860

2213984 has 24 divisors (see below), whose sum is σ = 4462920. Its totient is φ = 1080576.

The previous prime is 2213983. The next prime is 2214001. The reversal of 2213984 is 4893122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213983) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 572 + ... + 2180.

It is an arithmetic number, because the mean of its divisors is an integer number (185955).

22213984 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 2213984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231460).

2213984 is an abundant number, since it is smaller than the sum of its proper divisors (2248936).

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

2213984 is a wasteful number, since it uses less digits than its factorization.

2213984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1654 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 2213984 is about 1487.9462355878. The cubic root of 2213984 is about 130.3341306080.

The spelling of 2213984 in words is "two million, two hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 1376 1609 3218 6436 12872 25744 51488 69187 138374 276748 553496 1106992 2213984