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232420014 = 232233715173
BaseRepresentation
bin11011101101001…
…11001010101110
3121012100011022200
431312213022232
5433444420024
635021322330
75521352241
oct1566471256
9535304280
10232420014
1110a216662
1265a063a6
13391c8948
1422c21258
15156102c9
hexdda72ae

232420014 has 48 divisors (see below), whose sum is σ = 539708832. Its totient is φ = 72097344.

The previous prime is 232419973. The next prime is 232420043. The reversal of 232420014 is 410024232.

232420014 is a `hidden beast` number, since 232 + 420 + 0 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7732 + ... + 22904.

It is an arithmetic number, because the mean of its divisors is an integer number (11243934).

Almost surely, 2232420014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232420014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269854416).

232420014 is an abundant number, since it is smaller than the sum of its proper divisors (307288818).

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

232420014 is a wasteful number, since it uses less digits than its factorization.

232420014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15241 (or 15238 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 232420014 is about 15245.3276120915. The cubic root of 232420014 is about 614.8339508085.

Adding to 232420014 its reverse (410024232), we get a palindrome (642444246).

The spelling of 232420014 in words is "two hundred thirty-two million, four hundred twenty thousand, fourteen".

Divisors: 1 2 3 6 9 18 23 37 46 69 74 111 138 207 222 333 414 666 851 1702 2553 5106 7659 15173 15318 30346 45519 91038 136557 273114 348979 561401 697958 1046937 1122802 1684203 2093874 3140811 3368406 5052609 6281622 10105218 12912223 25824446 38736669 77473338 116210007 232420014