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430220242452 = 2237211132393581
BaseRepresentation
bin1100100001010110001…
…11111110111000010100
31112010110210021202012210
412100223013332320110
524022042340224302
6525350200513420
743040154503100
oct6205307767024
91463423252183
10430220242452
11156501124890
126b467a7b870
1331753527300
1416b7397c900
15b2cea2966c
hex642b1fee14

430220242452 has 216 divisors, whose sum is σ = 1379432490912. Its totient is φ = 103149446400.

The previous prime is 430220242451. The next prime is 430220242481. The reversal of 430220242452 is 254242022034.

430220242452 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430220242451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 896302 + ... + 1289882.

It is an arithmetic number, because the mean of its divisors is an integer number (6386261532).

Almost surely, 2430220242452 is an apocalyptic number.

430220242452 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430220242452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689716245456).

430220242452 is an abundant number, since it is smaller than the sum of its proper divisors (949212248460).

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

430220242452 is a wasteful number, since it uses less digits than its factorization.

430220242452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393639 (or 393617 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 430220242452 its reverse (254242022034), we get a palindrome (684462264486).

The spelling of 430220242452 in words is "four hundred thirty billion, two hundred twenty million, two hundred forty-two thousand, four hundred fifty-two".