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122232334340 = 22513744610341
BaseRepresentation
bin111000111010110011…
…1010110100000000100
3102200111120200221112002
41301311213112200010
54000312434144330
6132052555044432
711555013461534
oct1616547264004
9380446627462
10122232334340
1147924a69a36
121b833440718
13b6ac82a36c
145cb79dd4c4
1532a5e5ce45
hex1c759d6804

122232334340 has 24 divisors (see below), whose sum is σ = 258561542232. Its totient is φ = 48536049920.

The previous prime is 122232334339. The next prime is 122232334363. The reversal of 122232334340 is 43433232221.

122232334340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2492805184 + 119739529156 = 49928^2 + 346034^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22302431 + ... + 22307910.

It is an arithmetic number, because the mean of its divisors is an integer number (10773397593).

Almost surely, 2122232334340 is an apocalyptic number.

122232334340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122232334340 is an abundant number, since it is smaller than the sum of its proper divisors (136329207892).

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

122232334340 is a wasteful number, since it uses less digits than its factorization.

122232334340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44610487 (or 44610485 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 122232334340 its reverse (43433232221), we get a palindrome (165665566561).

The spelling of 122232334340 in words is "one hundred twenty-two billion, two hundred thirty-two million, three hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 137 274 548 685 1370 2740 44610341 89220682 178441364 223051705 446103410 892206820 6111616717 12223233434 24446466868 30558083585 61116167170 122232334340