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229695575328 = 25323129112
BaseRepresentation
bin1101010111101011101…
…1000101010100100000
3210221212212202012201200
43111322323011110200
512230404031402303
6253304245201200
722411033114242
oct3257273052440
9727785665650
10229695575328
118946018949a
1238624700200
13188775c751b
14b18dd24092
155e954b83a3
hex357aec5520

229695575328 has 162 divisors, whose sum is σ = 675689061411. Its totient is φ = 74014012800.

The previous prime is 229695575269. The next prime is 229695575353. The reversal of 229695575328 is 823575596922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

229695575328 is a `hidden beast` number, since 2 + 2 + 9 + 6 + 9 + 557 + 53 + 28 = 666.

229695575328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 114847787664 + 114847787664 = 338892^2 + 338892^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=338892.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 252135193 + ... + 252136103.

Almost surely, 2229695575328 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 229695575328

229695575328 is an abundant number, since it is smaller than the sum of its proper divisors (445993486083).

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

229695575328 is an frugal number, since it uses more digits than its factorization.

229695575328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 947 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 229695575328 in words is "two hundred twenty-nine billion, six hundred ninety-five million, five hundred seventy-five thousand, three hundred twenty-eight".