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228887568 = 243271317467
BaseRepresentation
bin11011010010010…
…00110000010000
3120221200200201100
431221020300100
5432043400233
634413504400
75446340460
oct1551106020
9527620640
10228887568
11108223688
12647a2100
133855cb40
1422581ba0
1515163813
hexda48c10

228887568 has 120 divisors (see below), whose sum is σ = 788435648. Its totient is φ = 60362496.

The previous prime is 228887567. The next prime is 228887573. The reversal of 228887568 is 865788822.

It is not an unprimeable number, because it can be changed into a prime (228887563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4371 + ... + 21837.

Almost surely, 2228887568 is an apocalyptic number.

228887568 is a gapful number since it is divisible by the number (28) 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 228887568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394217824).

228887568 is an abundant number, since it is smaller than the sum of its proper divisors (559548080).

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

228887568 is a wasteful number, since it uses less digits than its factorization.

228887568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17501 (or 17492 counting only the distinct ones).

The product of its digits is 3440640, while the sum is 54.

The square root of 228887568 is about 15129.0306364949. The cubic root of 228887568 is about 611.7031752972.

The spelling of 228887568 in words is "two hundred twenty-eight million, eight hundred eighty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 6552 13104 17467 34934 52401 69868 104802 122269 139736 157203 209604 227071 244538 279472 314406 366807 419208 454142 489076 628812 681213 733614 838416 908284 978152 1100421 1257624 1362426 1467228 1589497 1816568 1956304 2043639 2200842 2515248 2724852 2934456 3178994 3633136 4087278 4401684 4768491 5449704 5868912 6357988 8174556 8803368 9536982 10899408 12715976 14305473 16349112 17606736 19073964 25431952 28610946 32698224 38147928 57221892 76295856 114443784 228887568