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229068000 = 2534537101
BaseRepresentation
bin11011010011101…
…00110011100000
3120222000212020000
431221310303200
5432120134000
634421420000
75451021510
oct1551646340
9528025200
10229068000
111083371a7
126486a600
13385c3cc5
14225cb840
151519c000
hexda74ce0

229068000 has 480 divisors, whose sum is σ = 970377408. Its totient is φ = 51840000.

The previous prime is 229067987. The next prime is 229068001. The reversal of 229068000 is 860922.

229068000 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 (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229068001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2267950 + ... + 2268050.

Almost surely, 2229068000 is an apocalyptic number.

229068000 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 229068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485188704).

229068000 is an abundant number, since it is smaller than the sum of its proper divisors (741309408).

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

229068000 is a wasteful number, since it uses less digits than its factorization.

229068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 229068000 is about 15134.9925668961. The cubic root of 229068000 is about 611.8638682220.

The spelling of 229068000 in words is "two hundred twenty-nine million, sixty-eight thousand".