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228563424 = 25331272083
BaseRepresentation
bin11011001111110…
…01100111100000
3120221002020002000
431213321213200
5432003012144
634402524000
75443520445
oct1547714740
9527066060
10228563424
111080220a1
1264666600
133847843b
14224d99cc
15150ec769
hexd9f99e0

228563424 has 96 divisors (see below), whose sum is σ = 672215040. Its totient is φ = 75551616.

The previous prime is 228563417. The next prime is 228563437. The reversal of 228563424 is 424365822.

228563424 is a `hidden beast` number, since 228 + 5 + 6 + 3 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108687 + ... + 110769.

It is an arithmetic number, because the mean of its divisors is an integer number (7002240).

Almost surely, 2228563424 is an apocalyptic number.

228563424 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 228563424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336107520).

228563424 is an abundant number, since it is smaller than the sum of its proper divisors (443651616).

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

228563424 is a wasteful number, since it uses less digits than its factorization.

228563424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2215 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 228563424 is about 15118.3141917345. The cubic root of 228563424 is about 611.4142800564.

The spelling of 228563424 in words is "two hundred twenty-eight million, five hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 127 144 216 254 288 381 432 508 762 864 1016 1143 1524 2032 2083 2286 3048 3429 4064 4166 4572 6096 6249 6858 8332 9144 12192 12498 13716 16664 18288 18747 24996 27432 33328 36576 37494 49992 54864 56241 66656 74988 99984 109728 112482 149976 199968 224964 264541 299952 449928 529082 599904 793623 899856 1058164 1587246 1799712 2116328 2380869 3174492 4232656 4761738 6348984 7142607 8465312 9523476 12697968 14285214 19046952 25395936 28570428 38093904 57140856 76187808 114281712 228563424