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228935880 = 233252292777
BaseRepresentation
bin11011010010101…
…00100011001000
3120221210010222200
431221110203020
5432101422010
634414520200
75446631355
oct1551244310
9527703880
10228935880
11108256a08
1264806060
1338578b24
142259562c
1515172cc0
hexda548c8

228935880 has 96 divisors (see below), whose sum is σ = 747559800. Its totient is φ = 60761088.

The previous prime is 228935873. The next prime is 228935887. The reversal of 228935880 is 88539822.

It is an interprime number because it is at equal distance from previous prime (228935873) and next prime (228935887).

It can be written as a sum of positive squares in 4 ways, for example, as 195272676 + 33663204 = 13974^2 + 5802^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (228935887) 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, 81052 + ... + 83828.

Almost surely, 2228935880 is an apocalyptic number.

228935880 is a gapful number since it is divisible by the number (20) 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 228935880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373779900).

228935880 is an abundant number, since it is smaller than the sum of its proper divisors (518623920).

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

228935880 is a wasteful number, since it uses less digits than its factorization.

228935880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 228935880 is about 15130.6272176668. The cubic root of 228935880 is about 611.7462102904.

The spelling of 228935880 in words is "two hundred twenty-eight million, nine hundred thirty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 229 360 458 687 916 1145 1374 1832 2061 2290 2748 2777 3435 4122 4580 5496 5554 6870 8244 8331 9160 10305 11108 13740 13885 16488 16662 20610 22216 24993 27480 27770 33324 41220 41655 49986 55540 66648 82440 83310 99972 111080 124965 166620 199944 249930 333240 499860 635933 999720 1271866 1907799 2543732 3179665 3815598 5087464 5723397 6359330 7631196 9538995 11446794 12718660 15262392 19077990 22893588 25437320 28616985 38155980 45787176 57233970 76311960 114467940 228935880