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229940000 = 255411497
BaseRepresentation
bin11011011010010…
…01101100100000
3121000200011101022
431231021230200
5432331040000
634452225012
75461313003
oct1555115440
9530604338
10229940000
11108882364
126500b168
133883ab94
142277753a
15152c0585
hexdb49b20

229940000 has 60 divisors (see below), whose sum is σ = 565736094. Its totient is φ = 91968000.

The previous prime is 229939991. The next prime is 229940003. The reversal of 229940000 is 49922.

It can be written as a sum of positive squares in 5 ways, for example, as 5779216 + 224160784 = 2404^2 + 14972^2 .

It is not an unprimeable number, because it can be changed into a prime (229940003) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 14252 + ... + 25748.

Almost surely, 2229940000 is an apocalyptic number.

229940000 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 229940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282868047).

229940000 is an abundant number, since it is smaller than the sum of its proper divisors (335796094).

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

229940000 is an equidigital number, since it uses as much as digits as its factorization.

229940000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11527 (or 11504 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 229940000 is about 15163.7726176569. The cubic root of 229940000 is about 612.6392852748.

Adding to 229940000 its reverse (49922), we get a palindrome (229989922).

The spelling of 229940000 in words is "two hundred twenty-nine million, nine hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 11497 20000 22994 45988 57485 91976 114970 183952 229940 287425 367904 459880 574850 919760 1149700 1437125 1839520 2299400 2874250 4598800 5748500 7185625 9197600 11497000 14371250 22994000 28742500 45988000 57485000 114970000 229940000