Search a number
-
+
228803040 = 25325295479
BaseRepresentation
bin11011010001101…
…00000111100000
3120221112101202200
431220310013200
5432033144130
634412013200
75445536154
oct1550640740
9527471680
10228803040
11108176124
1264761200
133853051b
142255d064
1515148760
hexda341e0

228803040 has 144 divisors (see below), whose sum is σ = 807861600. Its totient is φ = 58899456.

The previous prime is 228802999. The next prime is 228803063. The reversal of 228803040 is 40308822.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2288030402 = 104701662226483200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 228802995 and 228803013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39021 + ... + 44499.

It is an arithmetic number, because the mean of its divisors is an integer number (5610150).

Almost surely, 2228803040 is an apocalyptic number.

228803040 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 228803040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403930800).

228803040 is an abundant number, since it is smaller than the sum of its proper divisors (579058560).

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

228803040 is a wasteful number, since it uses less digits than its factorization.

228803040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5529 (or 5518 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 228803040 is about 15126.2368089357. The cubic root of 228803040 is about 611.6278655243.

The spelling of 228803040 in words is "two hundred twenty-eight million, eight hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 32 36 40 45 48 58 60 72 80 87 90 96 116 120 144 145 160 174 180 232 240 261 288 290 348 360 435 464 480 522 580 696 720 870 928 1044 1160 1305 1392 1440 1740 2088 2320 2610 2784 3480 4176 4640 5220 5479 6960 8352 10440 10958 13920 16437 20880 21916 27395 32874 41760 43832 49311 54790 65748 82185 87664 98622 109580 131496 158891 164370 175328 197244 219160 246555 262992 317782 328740 394488 438320 476673 493110 525984 635564 657480 788976 794455 876640 953346 986220 1271128 1314960 1430019 1577952 1588910 1906692 1972440 2383365 2542256 2629920 2860038 3177820 3813384 3944880 4766730 5084512 5720076 6355640 7150095 7626768 7889760 9533460 11440152 12711280 14300190 15253536 19066920 22880304 25422560 28600380 38133840 45760608 57200760 76267680 114401520 228803040