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228800660 = 2251119127431
BaseRepresentation
bin11011010001100…
…11100010010100
3120221112021111112
431220303202110
5432033110120
634411554152
75445526214
oct1550634224
9527467445
10228800660
11108174360
126475b958
133852c40a
142255c244
1515147bc5
hexda33894

228800660 has 96 divisors (see below), whose sum is σ = 557383680. Its totient is φ = 78019200.

The previous prime is 228800659. The next prime is 228800683. The reversal of 228800660 is 66008822.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 530645 + ... + 531075.

It is an arithmetic number, because the mean of its divisors is an integer number (5806080).

Almost surely, 2228800660 is an apocalyptic number.

228800660 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 228800660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278691840).

228800660 is an abundant number, since it is smaller than the sum of its proper divisors (328583020).

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

228800660 is a wasteful number, since it uses less digits than its factorization.

228800660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 228800660 is about 15126.1581374783. The cubic root of 228800660 is about 611.6257448075.

The spelling of 228800660 in words is "two hundred twenty-eight million, eight hundred thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 127 190 209 220 254 380 418 431 508 635 836 862 1045 1270 1397 1724 2090 2155 2413 2540 2794 4180 4310 4741 4826 5588 6985 8189 8620 9482 9652 12065 13970 16378 18964 23705 24130 26543 27940 32756 40945 47410 48260 53086 54737 81890 90079 94820 106172 109474 132715 163780 180158 218948 265430 273685 360316 450395 530860 547370 602107 900790 1040003 1094740 1204214 1801580 2080006 2408428 3010535 4160012 5200015 6021070 10400030 11440033 12042140 20800060 22880066 45760132 57200165 114400330 228800660