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228384576 = 2633779239
BaseRepresentation
bin11011001110011…
…01111101000000
3120220202010202000
431213031331000
5431431301301
634355024000
75442144150
oct1547157500
9526663660
10228384576
11107a0a792
126459b000
1338414c04
1422490760
15150b4786
hexd9cdf40

228384576 has 224 divisors, whose sum is σ = 780288000. Its totient is φ = 64157184.

The previous prime is 228384547. The next prime is 228384587. The reversal of 228384576 is 675483822.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 955465 + ... + 955703.

Almost surely, 2228384576 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 228384576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390144000).

228384576 is an abundant number, since it is smaller than the sum of its proper divisors (551903424).

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

228384576 is a wasteful number, since it uses less digits than its factorization.

228384576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 330 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 228384576 is about 15112.3980889864. The cubic root of 228384576 is about 611.2547637854.

The spelling of 228384576 in words is "two hundred twenty-eight million, three hundred eighty-four thousand, five hundred seventy-six".