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2216004 = 2237233137
BaseRepresentation
bin1000011101000001000100
311011120210020
420131001010
51031403004
6115255140
724556440
oct10350104
94146706
102216004
111283a0a
128aa4b0
135c785b
14419820
152db8d9
hex21d044

2216004 has 96 divisors (see below), whose sum is σ = 6537216. Its totient is φ = 570240.

The previous prime is 2215999. The next prime is 2216021. The reversal of 2216004 is 4006122.

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 31 ways as a sum of consecutive naturals, for example, 59874 + ... + 59910.

It is an arithmetic number, because the mean of its divisors is an integer number (68096).

22216004 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 2216004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268608).

2216004 is an abundant number, since it is smaller than the sum of its proper divisors (4321212).

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

2216004 is a wasteful number, since it uses less digits than its factorization.

2216004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2216004 is about 1488.6248687967. The cubic root of 2216004 is about 130.3737567473.

The spelling of 2216004 in words is "two million, two hundred sixteen thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 31 37 42 46 62 69 74 84 92 93 111 124 138 148 161 186 217 222 259 276 322 372 434 444 483 518 644 651 713 777 851 868 966 1036 1147 1302 1426 1554 1702 1932 2139 2294 2553 2604 2852 3108 3404 3441 4278 4588 4991 5106 5957 6882 8029 8556 9982 10212 11914 13764 14973 16058 17871 19964 23828 24087 26381 29946 32116 35742 48174 52762 59892 71484 79143 96348 105524 158286 184667 316572 369334 554001 738668 1108002 2216004