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2216480 = 25571979
BaseRepresentation
bin1000011101001000100000
311011121102212
420131020200
51031411410
6115301252
724561020
oct10351040
94147385
102216480
111284302
128aa828
135c7b36
14419a80
152dbb05
hex21d220

2216480 has 48 divisors (see below), whose sum is σ = 5987520. Its totient is φ = 759552.

The previous prime is 2216479. The next prime is 2216519. The reversal of 2216480 is 846122.

It is a congruent number.

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, 131 + ... + 2109.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

22216480 is an apocalyptic number.

2216480 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 2216480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993760).

2216480 is an abundant number, since it is smaller than the sum of its proper divisors (3771040).

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

2216480 is a wasteful number, since it uses less digits than its factorization.

2216480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2216480 is about 1488.7847393092. The cubic root of 2216480 is about 130.3830908859.

The spelling of 2216480 in words is "two million, two hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 1979 3958 7916 9895 13853 15832 19790 27706 31664 39580 55412 63328 69265 79160 110824 138530 158320 221648 277060 316640 443296 554120 1108240 2216480