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230211324432 = 24324138992433
BaseRepresentation
bin1101011001100110101…
…0100000101000010000
3211000012211012222111100
43112121222200220100
512232433044340212
6253431351344400
722426564654035
oct3263152405020
9730184188440
10230211324432
11896a5322421
1238749382100
131892a404bcb
14b1dc61938c
155ec58e2bdc
hex3599aa0a10

230211324432 has 60 divisors (see below), whose sum is σ = 659985937884. Its totient is φ = 74865469440.

The previous prime is 230211324359. The next prime is 230211324517. The reversal of 230211324432 is 234423112032.

230211324432 is a `hidden beast` number, since 2 + 3 + 0 + 211 + 3 + 2 + 443 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79679740176 + 150531584256 = 282276^2 + 387984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 230211324396 and 230211324405.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19490313 + ... + 19502120.

Almost surely, 2230211324432 is an apocalyptic number.

It is an amenable number.

230211324432 is an abundant number, since it is smaller than the sum of its proper divisors (429774613452).

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

230211324432 is a wasteful number, since it uses less digits than its factorization.

230211324432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38992488 (or 38992479 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 230211324432 its reverse (234423112032), we get a palindrome (464634436464).

The spelling of 230211324432 in words is "two hundred thirty billion, two hundred eleven million, three hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 38992433 77984866 116977299 155969732 233954598 311939464 350931897 467909196 623878928 701863794 935818392 1403727588 1598689753 1871636784 2807455176 3197379506 4796069259 5614910352 6394759012 9592138518 12789518024 14388207777 19184277036 25579036048 28776415554 38368554072 57552831108 76737108144 115105662216 230211324432