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2238656 = 26719263
BaseRepresentation
bin1000100010100011000000
311012201212012
420202203000
51033114111
6115552052
725012460
oct10424300
94181765
102238656
111299a32
128bb628
13604c64
14423ba0
152e348b
hex2228c0

2238656 has 56 divisors (see below), whose sum is σ = 5364480. Its totient is φ = 905472.

The previous prime is 2238653. The next prime is 2238661. The reversal of 2238656 is 6568322.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 210 + 210 + 37 + 82 + 64 + 59 + 67 .

It is not an unprimeable number, because it can be changed into a prime (2238653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8381 + ... + 8643.

22238656 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 2238656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682240).

2238656 is an abundant number, since it is smaller than the sum of its proper divisors (3125824).

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

2238656 is a wasteful number, since it uses less digits than its factorization.

2238656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 2238656 is about 1496.2138884531. The cubic root of 2238656 is about 130.8164786416.

The spelling of 2238656 in words is "two million, two hundred thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 263 266 304 448 526 532 608 1052 1064 1216 1841 2104 2128 3682 4208 4256 4997 7364 8416 8512 9994 14728 16832 19988 29456 34979 39976 58912 69958 79952 117824 139916 159904 279832 319808 559664 1119328 2238656