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229134024 = 233271747569
BaseRepresentation
bin11011010100001…
…00111011001000
3120222011012210100
431222010323020
5432124242044
634423045400
75451415140
oct1552047310
9528135710
10229134024
11108381869
12648a0860
1338618082
1422607920
15151b1869
hexda84ec8

229134024 has 192 divisors, whose sum is σ = 768268800. Its totient is φ = 60198912.

The previous prime is 229134013. The next prime is 229134029. The reversal of 229134024 is 420431922.

229134024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (229134029) 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 47 ways as a sum of consecutive naturals, for example, 402412 + ... + 402980.

It is an arithmetic number, because the mean of its divisors is an integer number (4001400).

Almost surely, 2229134024 is an apocalyptic number.

229134024 is a gapful number since it is divisible by the number (24) 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 229134024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384134400).

229134024 is an abundant number, since it is smaller than the sum of its proper divisors (539134776).

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

229134024 is a wasteful number, since it uses less digits than its factorization.

229134024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 229134024 is about 15137.1735802956. The cubic root of 229134024 is about 611.9226481758.

Adding to 229134024 its reverse (420431922), we get a palindrome (649565946).

It can be divided in two parts, 2291 and 34024, that added together give a triangular number (36315 = T269).

The spelling of 229134024 in words is "two hundred twenty-nine million, one hundred thirty-four thousand, twenty-four".