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228353408 = 2710716673
BaseRepresentation
bin11011001110001…
…10010110000000
3120220200112222122
431213012112000
5431424302113
634354223412
75441654243
oct1547062600
9526615878
10228353408
11107999328
1264584b68
133840397a
142248325a
15150aa408
hexd9c6580

228353408 has 32 divisors (see below), whose sum is σ = 459201960. Its totient is φ = 113102848.

The previous prime is 228353399. The next prime is 228353429. The reversal of 228353408 is 804353822.

It is a tau number, because it is divible by the number of its divisors (32).

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, 5360 + ... + 22032.

Almost surely, 2228353408 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 228353408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229600980).

228353408 is an abundant number, since it is smaller than the sum of its proper divisors (230848552).

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

228353408 is a wasteful number, since it uses less digits than its factorization.

228353408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16794 (or 16782 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 228353408 is about 15111.3668475092. The cubic root of 228353408 is about 611.2269562227.

The spelling of 228353408 in words is "two hundred twenty-eight million, three hundred fifty-three thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 107 128 214 428 856 1712 3424 6848 13696 16673 33346 66692 133384 266768 533536 1067072 1784011 2134144 3568022 7136044 14272088 28544176 57088352 114176704 228353408