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229852728 = 23357219127
BaseRepresentation
bin11011011001101…
…00011000111000
3121000111201200000
431230310120320
5432320241403
634450313000
75460500400
oct1554643070
9530451600
10229852728
11108822836
1264b88760
133880a241
1422753800
15152a47a3
hexdb34638

229852728 has 288 divisors, whose sum is σ = 796723200. Its totient is φ = 61725888.

The previous prime is 229852663. The next prime is 229852741. The reversal of 229852728 is 827258922.

229852728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1809801 + ... + 1809927.

It is an arithmetic number, because the mean of its divisors is an integer number (2766400).

Almost surely, 2229852728 is an apocalyptic number.

229852728 is a gapful number since it is divisible by the number (28) 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 229852728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398361600).

229852728 is an abundant number, since it is smaller than the sum of its proper divisors (566870472).

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

229852728 is a wasteful number, since it uses less digits than its factorization.

229852728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 158 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 229852728 is about 15160.8946965540. The cubic root of 229852728 is about 612.5617679204.

The spelling of 229852728 in words is "two hundred twenty-nine million, eight hundred fifty-two thousand, seven hundred twenty-eight".