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228767232 = 293178761
BaseRepresentation
bin11011010001010…
…11011000000000
3120221110120122110
431220223120000
5432031022412
634411135320
75445326601
oct1550533000
9527416573
10228767232
11108151231
1264744540
133851a135
142254dda8
151513cd3c
hexda2b600

228767232 has 80 divisors (see below), whose sum is σ = 645373872. Its totient is φ = 71761920.

The previous prime is 228767219. The next prime is 228767233. The reversal of 228767232 is 232767822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228767233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21732 + ... + 30492.

Almost surely, 2228767232 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 228767232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322686936).

228767232 is an abundant number, since it is smaller than the sum of its proper divisors (416606640).

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

228767232 is an equidigital number, since it uses as much as digits as its factorization.

228767232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8799 (or 8783 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 228767232 is about 15125.0531238736. The cubic root of 228767232 is about 611.5959569838.

The spelling of 228767232 in words is "two hundred twenty-eight million, seven hundred sixty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1536 1632 2176 3264 4352 6528 8704 8761 13056 17522 26112 26283 35044 52566 70088 105132 140176 148937 210264 280352 297874 420528 446811 560704 595748 841056 893622 1121408 1191496 1682112 1787244 2242816 2382992 3364224 3574488 4485632 4765984 6728448 7148976 9531968 13456896 14297952 19063936 28595904 38127872 57191808 76255744 114383616 228767232