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229215360 = 27351110853
BaseRepresentation
bin11011010100110…
…00110010000000
3120222022100100210
431222120302000
5432134342420
634424514120
75452204233
oct1552306200
9528270323
10229215360
11108427990
126491b940
13386460ba
142262941a
15151ca9e0
hexda98c80

229215360 has 128 divisors (see below), whose sum is σ = 797117760. Its totient is φ = 55562240.

The previous prime is 229215331. The next prime is 229215377. The reversal of 229215360 is 63512922.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15694 + ... + 26546.

Almost surely, 2229215360 is an apocalyptic number.

229215360 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 229215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398558880).

229215360 is an abundant number, since it is smaller than the sum of its proper divisors (567902400).

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

229215360 is a wasteful number, since it uses less digits than its factorization.

229215360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10886 (or 10874 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 229215360 is about 15139.8599729324. The cubic root of 229215360 is about 611.9950446008.

The spelling of 229215360 in words is "two hundred twenty-nine million, two hundred fifteen thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 10853 21120 21706 32559 43412 54265 65118 86824 108530 119383 130236 162795 173648 217060 238766 260472 325590 347296 358149 434120 477532 520944 596915 651180 694592 716298 868240 955064 1041888 1193830 1302360 1389184 1432596 1736480 1790745 1910128 2083776 2387660 2604720 2865192 3472960 3581490 3820256 4167552 4775320 5209440 5730384 6945920 7162980 7640512 9550640 10418880 11460768 14325960 15281024 19101280 20837760 22921536 28651920 38202560 45843072 57303840 76405120 114607680 229215360