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1230424218 = 23210126701
BaseRepresentation
bin100100101010110…
…1100100010011010
310011202021000201100
41021111230202122
510004442033333
6322032132230
742330301422
oct11125544232
93152230640
101230424218
115815a6a21
122a4097076
13167bb758a
14b95ad482
157304a213
hex4956c89a

1230424218 has 36 divisors (see below), whose sum is σ = 2692977534. Its totient is φ = 406020000.

The previous prime is 1230424207. The next prime is 1230424219. The reversal of 1230424218 is 8124240321.

1230424218 is a `hidden beast` number, since 1 + 23 + 0 + 424 + 218 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1204992369 + 25431849 = 34713^2 + 5043^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1230424191 and 1230424200.

It is not an unprimeable number, because it can be changed into a prime (1230424219) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 180268 + ... + 186968.

Almost surely, 21230424218 is an apocalyptic number.

1230424218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1230424218 is an abundant number, since it is smaller than the sum of its proper divisors (1462553316).

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

1230424218 is a wasteful number, since it uses less digits than its factorization.

1230424218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6911 (or 6807 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1230424218 is about 35077.4032391225. The cubic root of 1230424218 is about 1071.5644329505.

Adding to 1230424218 its reverse (8124240321), we get a palindrome (9354664539).

It can be divided in two parts, 123042 and 4218, that added together give a triangular number (127260 = T504).

The spelling of 1230424218 in words is "one billion, two hundred thirty million, four hundred twenty-four thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 6701 10201 13402 20103 20402 30603 40206 60309 61206 91809 120618 183618 676801 1353602 2030403 4060806 6091209 12182418 68356901 136713802 205070703 410141406 615212109 1230424218