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229401536 = 26721317331
BaseRepresentation
bin11011010110001…
…10001111000000
3120222122210202012
431223012033000
5432211322121
634432512052
75453611100
oct1553061700
9528583665
10229401536
11108544851
12649ab628
13386aca70
1422677200
1515215c5b
hexdac63c0

229401536 has 168 divisors, whose sum is σ = 605643696. Its totient is φ = 85155840.

The previous prime is 229401533. The next prime is 229401577. The reversal of 229401536 is 635104922.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229401533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 692891 + ... + 693221.

It is an arithmetic number, because the mean of its divisors is an integer number (3605022).

Almost surely, 2229401536 is an apocalyptic number.

229401536 is a gapful number since it is divisible by the number (26) 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 229401536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302821848).

229401536 is an abundant number, since it is smaller than the sum of its proper divisors (376242160).

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

229401536 is a wasteful number, since it uses less digits than its factorization.

229401536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 229401536 is about 15146.0072626419. The cubic root of 229401536 is about 612.1606937020.

The spelling of 229401536 in words is "two hundred twenty-nine million, four hundred one thousand, five hundred thirty-six".