Search a number
-
+
229909120 = 2757193773
BaseRepresentation
bin11011011010000…
…10001010000000
3121000121121000121
431231002022000
5432324042440
634451430024
75461123660
oct1555021200
9530547017
10229909120
11108861141
1264bb5314
1338829acc
142276a1a0
15152b634a
hexdb42280

229909120 has 256 divisors, whose sum is σ = 688377600. Its totient is φ = 71663616.

The previous prime is 229909117. The next prime is 229909133. The reversal of 229909120 is 21909922.

229909120 is nontrivially palindromic in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3149404 + ... + 3149476.

It is an arithmetic number, because the mean of its divisors is an integer number (2688975).

Almost surely, 2229909120 is an apocalyptic number.

229909120 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 229909120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344188800).

229909120 is an abundant number, since it is smaller than the sum of its proper divisors (458468480).

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

229909120 is a wasteful number, since it uses less digits than its factorization.

229909120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 229909120 is about 15162.7543671986. The cubic root of 229909120 is about 612.6118590649.

The spelling of 229909120 in words is "two hundred twenty-nine million, nine hundred nine thousand, one hundred twenty".