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229918500 = 2234537811
BaseRepresentation
bin11011011010001…
…00011100100100
3121000122001220000
431231010130210
5432324343000
634451541300
75461163220
oct1555043444
9530561800
10229918500
11108868199
1264bba830
1338831166
142276d780
15152b9000
hexdb44724

229918500 has 240 divisors, whose sum is σ = 858329472. Its totient is φ = 52488000.

The previous prime is 229918499. The next prime is 229918561. The reversal of 229918500 is 5819922.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 79 ways as a sum of consecutive naturals, for example, 283095 + ... + 283905.

Almost surely, 2229918500 is an apocalyptic number.

229918500 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 229918500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429164736).

229918500 is an abundant number, since it is smaller than the sum of its proper divisors (628410972).

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

229918500 is a wasteful number, since it uses less digits than its factorization.

229918500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 229918500 is about 15163.0636746009. The cubic root of 229918500 is about 612.6201902135.

The spelling of 229918500 in words is "two hundred twenty-nine million, nine hundred eighteen thousand, five hundred".