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230420143332 = 22326400559537
BaseRepresentation
bin1101011010011000011…
…1000101110011100100
3211000202101011002011200
43112212013011303210
512233400024041312
6253504211202500
722435011621351
oct3264607056344
9730671132150
10230420143332
11897a2189125
12387a72a6430
13189617592a2
14b21c255628
155ed8de00dc
hex35a61c5ce4

230420143332 has 18 divisors (see below), whose sum is σ = 582450917958. Its totient is φ = 76806714432.

The previous prime is 230420143273. The next prime is 230420143333. The reversal of 230420143332 is 233341024032.

230420143332 is a `hidden beast` number, since 2 + 304 + 20 + 1 + 4 + 3 + 332 = 666.

230420143332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 229933676196 + 486467136 = 479514^2 + 22056^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 230420143296 and 230420143305.

It is not an unprimeable number, because it can be changed into a prime (230420143333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3200279733 + ... + 3200279804.

It is an arithmetic number, because the mean of its divisors is an integer number (32358384331).

Almost surely, 2230420143332 is an apocalyptic number.

It is an amenable number.

230420143332 is an abundant number, since it is smaller than the sum of its proper divisors (352030774626).

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

230420143332 is a wasteful number, since it uses less digits than its factorization.

230420143332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6400559547 (or 6400559542 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 230420143332 its reverse (233341024032), we get a palindrome (463761167364).

The spelling of 230420143332 in words is "two hundred thirty billion, four hundred twenty million, one hundred forty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 6400559537 12801119074 19201678611 25602238148 38403357222 57605035833 76806714444 115210071666 230420143332