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228658944 = 2831731721
BaseRepresentation
bin11011010000100…
…00111100000000
3120221021002002210
431220100330000
5432014041234
634404542120
75444366103
oct1550207400
9527232083
10228658944
11108087938
12646b1940
13384aca67
142252273a
151511abe9
hexda10f00

228658944 has 72 divisors (see below), whose sum is σ = 612439632. Its totient is φ = 75735040.

The previous prime is 228658933. The next prime is 228658949. The reversal of 228658944 is 449856822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 228658893 and 228658902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228658949) 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, 132004 + ... + 133724.

It is an arithmetic number, because the mean of its divisors is an integer number (8506106).

Almost surely, 2228658944 is an apocalyptic number.

228658944 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 228658944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306219816).

228658944 is an abundant number, since it is smaller than the sum of its proper divisors (383780688).

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

228658944 is a wasteful number, since it uses less digits than its factorization.

228658944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1899 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 228658944 is about 15121.4729441282. The cubic root of 228658944 is about 611.4994411861.

The spelling of 228658944 in words is "two hundred twenty-eight million, six hundred fifty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 256 346 384 519 692 768 1038 1384 1721 2076 2768 3442 4152 5163 5536 6884 8304 10326 11072 13768 16608 20652 22144 27536 33216 41304 44288 55072 66432 82608 110144 132864 165216 220288 297733 330432 440576 595466 660864 893199 1190932 1321728 1786398 2381864 3572796 4763728 7145592 9527456 14291184 19054912 28582368 38109824 57164736 76219648 114329472 228658944