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229469760 = 2635513227
BaseRepresentation
bin11011010110101…
…10111001000000
3120222210021100000
431223112321000
5432221013020
634434200000
75454314022
oct1553267100
9528707300
10229469760
11108591033
1264a23000
1338704b30
1422694012
151522b090
hexdad6e40

229469760 has 336 divisors, whose sum is σ = 885358656. Its totient is φ = 56236032.

The previous prime is 229469759. The next prime is 229469767. The reversal of 229469760 is 67964922.

229469760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (229469767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1010767 + ... + 1010993.

It is an arithmetic number, because the mean of its divisors is an integer number (2634996).

Almost surely, 2229469760 is an apocalyptic number.

229469760 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 229469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442679328).

229469760 is an abundant number, since it is smaller than the sum of its proper divisors (655888896).

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

229469760 is a wasteful number, since it uses less digits than its factorization.

229469760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 229469760 is about 15148.2593059401. The cubic root of 229469760 is about 612.2213732022.

The spelling of 229469760 in words is "two hundred twenty-nine million, four hundred sixty-nine thousand, seven hundred sixty".