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430340240022 = 2372111733723227
BaseRepresentation
bin1100100001100100100…
…01101111001010010110
31112010210011002020221020
412100302101233022112
524022314100140042
6525410124502010
743043142454200
oct6206221571226
91463704066836
10430340240022
11156562934830
126b4a00aa906
13317723500a4
1416b85897770
15b2da32e3ec
hex643246f296

430340240022 has 192 divisors, whose sum is σ = 1159947599616. Its totient is φ = 104884899840.

The previous prime is 430340240021. The next prime is 430340240053. The reversal of 430340240022 is 220042043034.

It is a junction number, because it is equal to n+sod(n) for n = 430340239974 and 430340240001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430340240021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18515973 + ... + 18539199.

It is an arithmetic number, because the mean of its divisors is an integer number (6041393748).

Almost surely, 2430340240022 is an apocalyptic number.

430340240022 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 430340240022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579973799808).

430340240022 is an abundant number, since it is smaller than the sum of its proper divisors (729607359594).

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

430340240022 is a wasteful number, since it uses less digits than its factorization.

430340240022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23611 (or 23604 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 430340240022 its reverse (220042043034), we get a palindrome (650382283056).

The spelling of 430340240022 in words is "four hundred thirty billion, three hundred forty million, two hundred forty thousand, twenty-two".