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228911280 = 24351373369
BaseRepresentation
bin11011010010011…
…10100010110000
3120221201220020120
431221032202300
5432100130110
634414210240
75446466553
oct1551164260
9527656216
10228911280
1110823a484
12647b3980
133856a880
142258a69a
151516a870
hexda4e8b0

228911280 has 80 divisors (see below), whose sum is σ = 764221920. Its totient is φ = 56346624.

The previous prime is 228911279. The next prime is 228911303. The reversal of 228911280 is 82119822.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×2289112803 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33565 + ... + 39804.

It is an arithmetic number, because the mean of its divisors is an integer number (9552774).

Almost surely, 2228911280 is an apocalyptic number.

228911280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

228911280 is an abundant number, since it is smaller than the sum of its proper divisors (535310640).

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

228911280 is a wasteful number, since it uses less digits than its factorization.

228911280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73398 (or 73392 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 228911280 is about 15129.8142751324. The cubic root of 228911280 is about 611.7242980475.

The spelling of 228911280 in words is "two hundred twenty-eight million, nine hundred eleven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 73369 146738 220107 293476 366845 440214 586952 733690 880428 953797 1100535 1173904 1467380 1760856 1907594 2201070 2861391 2934760 3521712 3815188 4402140 4768985 5722782 5869520 7630376 8804280 9537970 11445564 14306955 15260752 17608560 19075940 22891128 28613910 38151880 45782256 57227820 76303760 114455640 228911280