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1230222321 = 322331474079
BaseRepresentation
bin100100101010011…
…1011001111110001
310011201212202202200
41021110323033301
510004414103241
6322023533413
742325500666
oct11124731761
93151782680
101230222321
11581479269
122a3bba269
13167b46703
14b9559a6d
157300a4b6
hex4953b3f1

1230222321 has 48 divisors (see below), whose sum is σ = 1955266560. Its totient is φ = 742848480.

The previous prime is 1230222313. The next prime is 1230222341. The reversal of 1230222321 is 1232220321.

1230222321 is a `hidden beast` number, since 123 + 0 + 222 + 321 = 666.

It is not a de Polignac number, because 1230222321 - 23 = 1230222313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1230222294 and 1230222303.

It is not an unprimeable number, because it can be changed into a prime (1230222341) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 299560 + ... + 303638.

It is an arithmetic number, because the mean of its divisors is an integer number (40734720).

Almost surely, 21230222321 is an apocalyptic number.

It is an amenable number.

1230222321 is a deficient number, since it is larger than the sum of its proper divisors (725044239).

1230222321 is a wasteful number, since it uses less digits than its factorization.

1230222321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186 (or 4183 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1230222321 is about 35074.5252426886. The cubic root of 1230222321 is about 1071.5058197028.

Adding to 1230222321 its reverse (1232220321), we get a palindrome (2462442642).

The spelling of 1230222321 in words is "one billion, two hundred thirty million, two hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 23 31 47 69 93 141 207 279 423 713 1081 1457 2139 3243 4079 4371 6417 9729 12237 13113 33511 36711 93817 100533 126449 191713 281451 301599 379347 575139 844353 1138041 1725417 2908327 4409399 5943103 8724981 13228197 17829309 26174943 39684591 53487927 136691369 410074107 1230222321