Search a number
-
+
232306385472 = 26327177732423
BaseRepresentation
bin1101100001011010001…
…0100010001001000000
3211012121211110002221200
43120112202202021000
512301230413313342
6254415312021200
722532524460520
oct3302642421100
9735554402850
10232306385472
118a57a997827
1239032b31800
1318ba24839b5
14b35a97b680
1560997d194c
hex36168a2240

232306385472 has 168 divisors, whose sum is σ = 761439509376. Its totient is φ = 66333855744.

The previous prime is 232306385431. The next prime is 232306385477. The reversal of 232306385472 is 274583603232.

232306385472 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 0 + 638 + 5 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (232306385477) 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, 7148653 + ... + 7181075.

It is an arithmetic number, because the mean of its divisors is an integer number (4532378032).

Almost surely, 2232306385472 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 232306385472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380719754688).

232306385472 is an abundant number, since it is smaller than the sum of its proper divisors (529133123904).

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

232306385472 is a wasteful number, since it uses less digits than its factorization.

232306385472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34225 (or 34212 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 232306385472 in words is "two hundred thirty-two billion, three hundred six million, three hundred eighty-five thousand, four hundred seventy-two".