Search a number
-
+
23122032 = 2433141379
BaseRepresentation
bin101100000110…
…1000001110000
31121111201110120
41120031001300
521404401112
62143330240
7400351113
oct130150160
947451416
1023122032
1112062a1a
1278b0980
134a3749b
1430dc57a
15206ae8c
hex160d070

23122032 has 80 divisors (see below), whose sum is σ = 63329280. Its totient is φ = 7257600.

The previous prime is 23122027. The next prime is 23122037. The reversal of 23122032 is 23022132.

It is an interprime number because it is at equal distance from previous prime (23122027) and next prime (23122037).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23122037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60819 + ... + 61197.

It is an arithmetic number, because the mean of its divisors is an integer number (791616).

Almost surely, 223122032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31664640).

23122032 is an abundant number, since it is smaller than the sum of its proper divisors (40207248).

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

23122032 is a wasteful number, since it uses less digits than its factorization.

23122032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 23122032 is about 4808.5374075700. The cubic root of 23122032 is about 284.8887716160. Note that the first 3 decimals are identical.

Adding to 23122032 its reverse (23022132), we get a palindrome (46144164).

The spelling of 23122032 in words is "twenty-three million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 41 48 62 82 93 123 124 164 186 246 248 328 372 379 492 496 656 744 758 984 1137 1271 1488 1516 1968 2274 2542 3032 3813 4548 5084 6064 7626 9096 10168 11749 15252 15539 18192 20336 23498 30504 31078 35247 46617 46996 61008 62156 70494 93234 93992 124312 140988 186468 187984 248624 281976 372936 481709 563952 745872 963418 1445127 1926836 2890254 3853672 5780508 7707344 11561016 23122032