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23189232 = 24311371187
BaseRepresentation
bin101100001110…
…1011011110000
31121122010122110
41120131123300
521414023412
62145005320
7401051043
oct130353360
947563573
1023189232
11120a9460
127923840
134a5bc51
143118c5a
152080d3c
hex161d6f0

23189232 has 80 divisors (see below), whose sum is σ = 67174272. Its totient is φ = 6831360.

The previous prime is 23189213. The next prime is 23189233. The reversal of 23189232 is 23298132.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 23189232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23189233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18943 + ... + 20129.

Almost surely, 223189232 is an apocalyptic number.

23189232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23189232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33587136).

23189232 is an abundant number, since it is smaller than the sum of its proper divisors (43985040).

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

23189232 is a wasteful number, since it uses less digits than its factorization.

23189232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1240 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 23189232 is about 4815.5199096255. The cubic root of 23189232 is about 285.1644972189.

Subtracting 23189232 from its reverse (23298132), we obtain a square (108900 = 3302).

The spelling of 23189232 in words is "twenty-three million, one hundred eighty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1187 1221 1628 1776 2374 2442 3256 3561 4748 4884 6512 7122 9496 9768 13057 14244 18992 19536 26114 28488 39171 43919 52228 56976 78342 87838 104456 131757 156684 175676 208912 263514 313368 351352 483109 527028 626736 702704 966218 1054056 1449327 1932436 2108112 2898654 3864872 5797308 7729744 11594616 23189232