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229030560 = 253251119761
BaseRepresentation
bin11011010011010…
…11101010100000
3120221221221212100
431221223222200
5432112434220
634420530400
75450504403
oct1551535240
9527857770
10229030560
11108311060
1264850a00
13385acc55
14225bbd3a
1515190d90
hexda6baa0

229030560 has 288 divisors, whose sum is σ = 898672320. Its totient is φ = 52531200.

The previous prime is 229030537. The next prime is 229030567. The reversal of 229030560 is 65030922.

229030560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (229030567) 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, 300580 + ... + 301340.

It is an arithmetic number, because the mean of its divisors is an integer number (3120390).

Almost surely, 2229030560 is an apocalyptic number.

229030560 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 229030560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449336160).

229030560 is an abundant number, since it is smaller than the sum of its proper divisors (669641760).

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

229030560 is a wasteful number, since it uses less digits than its factorization.

229030560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 229030560 is about 15133.7556475582. The cubic root of 229030560 is about 611.8305310595.

The spelling of 229030560 in words is "two hundred twenty-nine million, thirty thousand, five hundred sixty".