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228016128 = 21434639
BaseRepresentation
bin11011001011101…
…00000000000000
3120220001102022210
431211310000000
5431333004003
634343102120
75436051024
oct1545640000
9526042283
10228016128
1110778898a
1264441940
13383162b2
14223d6384
1515040503
hexd974000

228016128 has 60 divisors (see below), whose sum is σ = 608155520. Its totient is φ = 75988992.

The previous prime is 228016099. The next prime is 228016141. The reversal of 228016128 is 821610822.

It is a super-2 number, since 2×2280161282 = 103982709256224768, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 228016095 and 228016104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46833 + ... + 51471.

Almost surely, 2228016128 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 228016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304077760).

228016128 is an abundant number, since it is smaller than the sum of its proper divisors (380139392).

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

228016128 is an frugal number, since it uses more digits than its factorization.

228016128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4670 (or 4644 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 228016128 is about 15100.2029125439. The cubic root of 228016128 is about 610.9258787388.

The spelling of 228016128 in words is "two hundred twenty-eight million, sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 4639 6144 8192 9278 12288 13917 16384 18556 24576 27834 37112 49152 55668 74224 111336 148448 222672 296896 445344 593792 890688 1187584 1781376 2375168 3562752 4750336 7125504 9500672 14251008 19001344 28502016 38002688 57004032 76005376 114008064 228016128