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152211306 = 231310917903
BaseRepresentation
bin10010001001010…
…00111101101010
3101121102010122210
421010220331222
5302431230211
623034225550
73525526512
oct1104507552
9347363583
10152211306
1178a12675
1242b852b6
13256c4580
1416302842
15d5699a6
hex9128f6a

152211306 has 32 divisors (see below), whose sum is σ = 330865920. Its totient is φ = 46401984.

The previous prime is 152211253. The next prime is 152211313. The reversal of 152211306 is 603112251.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 450 + ... + 17453.

It is an arithmetic number, because the mean of its divisors is an integer number (10339560).

Almost surely, 2152211306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152211306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165432960).

152211306 is an abundant number, since it is smaller than the sum of its proper divisors (178654614).

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

152211306 is a wasteful number, since it uses less digits than its factorization.

152211306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18030.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 152211306 is about 12337.3946196107. The cubic root of 152211306 is about 533.9275175506.

Adding to 152211306 its reverse (603112251), we get a palindrome (755323557).

The spelling of 152211306 in words is "one hundred fifty-two million, two hundred eleven thousand, three hundred six".

Divisors: 1 2 3 6 13 26 39 78 109 218 327 654 1417 2834 4251 8502 17903 35806 53709 107418 232739 465478 698217 1396434 1951427 3902854 5854281 11708562 25368551 50737102 76105653 152211306