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234314102022 = 2371121347591279
BaseRepresentation
bin1101101000111000110…
…1010111010100000110
3211101210202022200021220
43122032031113110012
512314333402231042
6255350432221210
722633344001530
oct3321615272406
9741722280256
10234314102022
1190410224a00
12394b339a806
1319132400460
14b4ab484850
156165bba8ec
hex368e357506

234314102022 has 384 divisors, whose sum is σ = 658951372800. Its totient is φ = 54009711360.

The previous prime is 234314101999. The next prime is 234314102027. The reversal of 234314102022 is 220201413432.

It is a happy number.

234314102022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 234314101983 and 234314102001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234314102027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 183200379 + ... + 183201657.

It is an arithmetic number, because the mean of its divisors is an integer number (1716019200).

Almost surely, 2234314102022 is an apocalyptic number.

234314102022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 234314102022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329475686400).

234314102022 is an abundant number, since it is smaller than the sum of its proper divisors (424637270778).

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

234314102022 is a wasteful number, since it uses less digits than its factorization.

234314102022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1432 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 234314102022 its reverse (220201413432), we get a palindrome (454515515454).

It can be divided in two parts, 23431410 and 2022, that added together give a palindrome (23433432).

The spelling of 234314102022 in words is "two hundred thirty-four billion, three hundred fourteen million, one hundred two thousand, twenty-two".