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228223116 = 223311316197
BaseRepresentation
bin11011001101001…
…10100010001100
3120220102221021000
431212212202030
5431411114431
634351340300
75440602342
oct1546464214
9526387230
10228223116
1110790a450
1264521690
1338389584
142244b992
15150819e6
hexd9a688c

228223116 has 96 divisors (see below), whose sum is σ = 666408960. Its totient is φ = 66916800.

The previous prime is 228223111. The next prime is 228223123. The reversal of 228223116 is 611322822.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 228223116.

It is not an unprimeable number, because it can be changed into a prime (228223111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33730 + ... + 39926.

It is an arithmetic number, because the mean of its divisors is an integer number (6941760).

Almost surely, 2228223116 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 228223116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333204480).

228223116 is an abundant number, since it is smaller than the sum of its proper divisors (438185844).

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

228223116 is a wasteful number, since it uses less digits than its factorization.

228223116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6252 (or 6244 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 228223116 is about 15107.0551729978. The cubic root of 228223116 is about 611.1106844980.

Adding to 228223116 its reverse (611322822), we get a palindrome (839545938).

The spelling of 228223116 in words is "two hundred twenty-eight million, two hundred twenty-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 1023 1116 1188 1364 1674 2046 3069 3348 4092 6138 6197 9207 12276 12394 18414 18591 24788 36828 37182 55773 68167 74364 111546 136334 167319 192107 204501 223092 272668 334638 384214 409002 576321 613503 669276 768428 818004 1152642 1227006 1728963 1840509 2113177 2305284 2454012 3457926 3681018 4226354 5186889 6339531 6915852 7362036 8452708 10373778 12679062 19018593 20747556 25358124 38037186 57055779 76074372 114111558 228223116