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228656896 = 2813127541
BaseRepresentation
bin11011010000100…
…00011100000000
3120221020222021221
431220100130000
5432014010041
634404524424
75444360116
oct1550203400
9527228257
10228656896
11108086346
12646b0714
13384abb50
1422521ab6
151511a2d1
hexda10700

228656896 has 72 divisors (see below), whose sum is σ = 496315904. Its totient is φ = 104509440.

The previous prime is 228656891. The next prime is 228656903. The reversal of 228656896 is 698656822.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228656891) 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, 422386 + ... + 422926.

Almost surely, 2228656896 is an apocalyptic number.

228656896 is a gapful number since it is divisible by the number (26) 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 228656896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248157952).

228656896 is an abundant number, since it is smaller than the sum of its proper divisors (267659008).

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

228656896 is a wasteful number, since it uses less digits than its factorization.

228656896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 683 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 52.

The square root of 228656896 is about 15121.4052257057. The cubic root of 228656896 is about 611.4976155347.

It can be divided in two parts, 2286 and 56896, that multiplied together give a triangular number (130064256 = T16128).

The spelling of 228656896 in words is "two hundred twenty-eight million, six hundred fifty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 128 208 254 256 416 508 541 832 1016 1082 1651 1664 2032 2164 3302 3328 4064 4328 6604 7033 8128 8656 13208 14066 16256 17312 26416 28132 32512 34624 52832 56264 68707 69248 105664 112528 137414 138496 211328 225056 274828 422656 450112 549656 893191 900224 1099312 1786382 1800448 2198624 3572764 4397248 7145528 8794496 14291056 17588992 28582112 57164224 114328448 228656896