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229299920000 = 275416932
BaseRepresentation
bin1101010110001101010…
…1110001110010000000
3210220212022020211122122
43111203111301302000
512224101234420000
6253201113023412
722365160106204
oct3254325616200
9726768224578
10229299920000
1189277910818
12385340b4b68
1318813647648
14b153570b04
155e708b2085
hex3563571c80

229299920000 has 120 divisors (see below), whose sum is σ = 571165188165. Its totient is φ = 91665792000.

The previous prime is 229299919973. The next prime is 229299920021. The reversal of 229299920000 is 29992922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 35425262656 + 193874657344 = 188216^2 + 440312^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=338600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 135439154 + ... + 135440846.

Almost surely, 2229299920000 is an apocalyptic number.

229299920000 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 229299920000

229299920000 is an abundant number, since it is smaller than the sum of its proper divisors (341865268165).

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

229299920000 is an frugal number, since it uses more digits than its factorization.

229299920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 44.

The spelling of 229299920000 in words is "two hundred twenty-nine billion, two hundred ninety-nine million, nine hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 1693 2000 2500 3200 3386 4000 5000 6772 8000 8465 10000 13544 16000 16930 20000 27088 33860 40000 42325 54176 67720 80000 84650 108352 135440 169300 211625 216704 270880 338600 423250 541760 677200 846500 1058125 1083520 1354400 1693000 2116250 2708800 2866249 3386000 4232500 5417600 5732498 6772000 8465000 11464996 13544000 14331245 16930000 22929992 27088000 28662490 33860000 45859984 57324980 67720000 71656225 91719968 114649960 135440000 143312450 183439936 229299920 286624900 358281125 366879872 458599840 573249800 716562250 917199680 1146499600 1433124500 1791405625 1834399360 2292999200 2866249000 3582811250 4585998400 5732498000 7165622500 9171996800 11464996000 14331245000 22929992000 28662490000 45859984000 57324980000 114649960000 229299920000