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229055328 = 25321077433
BaseRepresentation
bin11011010011100…
…01101101100000
3120222000012211200
431221301231200
5432114232303
634421241200
75450636535
oct1551615540
9528005750
10229055328
11108328727
1264863200
13385bb2c8
14225c6d8c
15151983a3
hexda71b60

229055328 has 72 divisors (see below), whose sum is σ = 657552168. Its totient is φ = 75628032.

The previous prime is 229055293. The next prime is 229055329. The reversal of 229055328 is 823550922.

229055328 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 (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 229055292 and 229055301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229055329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27100 + ... + 34532.

It is an arithmetic number, because the mean of its divisors is an integer number (9132669).

Almost surely, 2229055328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229055328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328776084).

229055328 is an abundant number, since it is smaller than the sum of its proper divisors (428496840).

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

229055328 is a wasteful number, since it uses less digits than its factorization.

229055328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7556 (or 7545 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 229055328 is about 15134.5739285914. The cubic root of 229055328 is about 611.8525852814.

The spelling of 229055328 in words is "two hundred twenty-nine million, fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 107 144 214 288 321 428 642 856 963 1284 1712 1926 2568 3424 3852 5136 7433 7704 10272 14866 15408 22299 29732 30816 44598 59464 66897 89196 118928 133794 178392 237856 267588 356784 535176 713568 795331 1070352 1590662 2140704 2385993 3181324 4771986 6362648 7157979 9543972 12725296 14315958 19087944 25450592 28631916 38175888 57263832 76351776 114527664 229055328