Search a number
-
+
230532104 = 231121714009
BaseRepresentation
bin11011011110110…
…10010000001000
3121001210020121002
431233122100020
5433004011404
634513034132
75466330155
oct1557322010
9531706532
10230532104
11109147200
1265255948
13389b753a
142288d22c
151538ac1e
hexdbda408

230532104 has 48 divisors (see below), whose sum is σ = 503099100. Its totient is φ = 98616320.

The previous prime is 230532079. The next prime is 230532109. The reversal of 230532104 is 401235032.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 210192004 + 20340100 = 14498^2 + 4510^2 .

It is not an unprimeable number, because it can be changed into a prime (230532109) 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 11 ways as a sum of consecutive naturals, for example, 9452 + ... + 23460.

Almost surely, 2230532104 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 230532104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251549550).

230532104 is an abundant number, since it is smaller than the sum of its proper divisors (272566996).

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

230532104 is a wasteful number, since it uses less digits than its factorization.

230532104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14054 (or 14039 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 230532104 is about 15183.2837028095. The cubic root of 230532104 is about 613.1646908218.

Adding to 230532104 its reverse (401235032), we get a palindrome (631767136).

The spelling of 230532104 in words is "two hundred thirty million, five hundred thirty-two thousand, one hundred four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 121 136 187 242 374 484 748 968 1496 2057 4114 8228 14009 16456 28018 56036 112072 154099 238153 308198 476306 616396 952612 1232792 1695089 1905224 2619683 3390178 5239366 6780356 10478732 13560712 20957464 28816513 57633026 115266052 230532104