Search a number
-
+
122414032 = 2413588529
BaseRepresentation
bin1110100101111…
…10001111010000
322112100021111001
413102332033100
5222314222112
620051431344
73014334136
oct722761720
9275307431
10122414032
1163110524
1234bb5554
131c490950
1412387756
15ab30c57
hex74be3d0

122414032 has 20 divisors (see below), whose sum is σ = 255422020. Its totient is φ = 56498688.

The previous prime is 122414029. The next prime is 122414057. The reversal of 122414032 is 230414221.

It can be written as a sum of positive squares in 2 ways, for example, as 18455616 + 103958416 = 4296^2 + 10196^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 294057 + ... + 294472.

It is an arithmetic number, because the mean of its divisors is an integer number (12771101).

Almost surely, 2122414032 is an apocalyptic number.

It is an amenable number.

122414032 is an abundant number, since it is smaller than the sum of its proper divisors (133007988).

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

122414032 is a wasteful number, since it uses less digits than its factorization.

122414032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588550 (or 588544 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 122414032 is about 11064.0874906158. The cubic root of 122414032 is about 496.5279887486.

Adding to 122414032 its reverse (230414221), we get a palindrome (352828253).

The spelling of 122414032 in words is "one hundred twenty-two million, four hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 588529 1177058 2354116 4708232 7650877 9416464 15301754 30603508 61207016 122414032