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230213211336 = 233217188082689
BaseRepresentation
bin1101011001100111000…
…1101101010011001000
3211000012221202211211200
43112121301231103020
512232434040230321
6253431500024200
722426620003153
oct3263161552310
9730187684750
10230213211336
11896a63a1049
1238749b32060
131892a915a14
14b1dc98ac9a
155ec5b66d26
hex3599c6d4c8

230213211336 has 48 divisors (see below), whose sum is σ = 660170241900. Its totient is φ = 72223752192.

The previous prime is 230213211329. The next prime is 230213211337. The reversal of 230213211336 is 633112312032.

230213211336 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 1 + 321 + 1 + 336 = 666.

230213211336 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 2 ways, for example, as 229910660100 + 302551236 = 479490^2 + 17394^2 .

It is a super-3 number, since 3×2302132113363 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (230213211337) 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 11 ways as a sum of consecutive naturals, for example, 94040121 + ... + 94042568.

Almost surely, 2230213211336 is an apocalyptic number.

It is an amenable number.

230213211336 is an abundant number, since it is smaller than the sum of its proper divisors (429957030564).

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

230213211336 is a wasteful number, since it uses less digits than its factorization.

230213211336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188082718 (or 188082711 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 230213211336 its reverse (633112312032), we get a palindrome (863325523368).

The spelling of 230213211336 in words is "two hundred thirty billion, two hundred thirteen million, two hundred eleven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 188082689 376165378 564248067 752330756 1128496134 1504661512 1692744201 2256992268 3197405713 3385488402 4513984536 6394811426 6770976804 9592217139 12789622852 13541953608 19184434278 25579245704 28776651417 38368868556 57553302834 76737737112 115106605668 230213211336