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2208864 = 253719173
BaseRepresentation
bin1000011011010001100000
311011012222210
420123101200
51031140424
6115202120
724526560
oct10332140
94135883
102208864
111279609
128a6340
135c4528
14416da0
152d9729
hex21b460

2208864 has 96 divisors (see below), whose sum is σ = 7015680. Its totient is φ = 594432.

The previous prime is 2208853. The next prime is 2208887. The reversal of 2208864 is 4688022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12682 + ... + 12854.

It is an arithmetic number, because the mean of its divisors is an integer number (73080).

22208864 is an apocalyptic number.

2208864 is a gapful number since it is divisible by the number (24) 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 2208864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507840).

2208864 is an abundant number, since it is smaller than the sum of its proper divisors (4806816).

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

2208864 is a wasteful number, since it uses less digits than its factorization.

2208864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2208864 is about 1486.2247474726. The cubic root of 2208864 is about 130.2335839897.

The spelling of 2208864 in words is "two million, two hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 173 224 228 266 304 336 346 399 456 519 532 608 672 692 798 912 1038 1064 1211 1384 1596 1824 2076 2128 2422 2768 3192 3287 3633 4152 4256 4844 5536 6384 6574 7266 8304 9688 9861 12768 13148 14532 16608 19376 19722 23009 26296 29064 38752 39444 46018 52592 58128 69027 78888 92036 105184 116256 138054 157776 184072 276108 315552 368144 552216 736288 1104432 2208864