Search a number
-
+
122432144 = 2431246839
BaseRepresentation
bin1110100110000…
…10101010010000
322112101012022212
413103002222100
5222320312034
620052051252
73014441012
oct723025220
9275335285
10122432144
116312309a
1235003b28
131c498c73
14123901b2
15ab362ce
hex74c2a90

122432144 has 20 divisors (see below), whose sum is σ = 244865280. Its totient is φ = 59241120.

The previous prime is 122432131. The next prime is 122432153. The reversal of 122432144 is 441234221.

122432144 is an admirable number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 122924 + ... + 123915.

It is an arithmetic number, because the mean of its divisors is an integer number (12243264).

Almost surely, 2122432144 is an apocalyptic number.

It is an amenable number.

122432144 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

122432144 is a wasteful number, since it uses less digits than its factorization.

122432144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246878 (or 246872 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 122432144 is about 11064.9059643541. The cubic root of 122432144 is about 496.5524757873.

Adding to 122432144 its reverse (441234221), we get a palindrome (563666365).

The spelling of 122432144 in words is "one hundred twenty-two million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 246839 493678 987356 1974712 3949424 7652009 15304018 30608036 61216072 122432144