Search a number
-
+
23214152 = 23132943179
BaseRepresentation
bin101100010001…
…1100001001000
31121200101211102
41120203201020
521420323102
62145320532
7401213513
oct130434110
947611742
1023214152
1112116155
127936148
134a6a3b0
143123d7a
152088402
hex1623848

23214152 has 64 divisors (see below), whose sum is σ = 49896000. Its totient is φ = 10047744.

The previous prime is 23214151. The next prime is 23214157. The reversal of 23214152 is 25141232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23214151) 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, 129599 + ... + 129777.

It is an arithmetic number, because the mean of its divisors is an integer number (779625).

Almost surely, 223214152 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 23214152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24948000).

23214152 is an abundant number, since it is smaller than the sum of its proper divisors (26681848).

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

23214152 is a wasteful number, since it uses less digits than its factorization.

23214152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 266 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 23214152 is about 4818.1066820900. The cubic root of 23214152 is about 285.2666100620.

Adding to 23214152 its reverse (25141232), we get a palindrome (48355384).

The spelling of 23214152 in words is "twenty-three million, two hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 26 29 43 52 58 86 104 116 172 179 232 344 358 377 559 716 754 1118 1247 1432 1508 2236 2327 2494 3016 4472 4654 4988 5191 7697 9308 9976 10382 15394 16211 18616 20764 30788 32422 41528 61576 64844 67483 100061 129688 134966 200122 223213 269932 400244 446426 539864 800488 892852 1785704 2901769 5803538 11607076 23214152