Search a number
-
+
23166720 = 283252011
BaseRepresentation
bin101100001011…
…1111100000000
31121120222202200
41120113330000
521412313340
62144313200
7400625313
oct130277400
947528680
1023166720
1112093555
127912800
134a51925
14311097a
152079330
hex1617f00

23166720 has 108 divisors (see below), whose sum is σ = 80194296. Its totient is φ = 6174720.

The previous prime is 23166709. The next prime is 23166721. The reversal of 23166720 is 2766132.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23166721) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10515 + ... + 12525.

Almost surely, 223166720 is an apocalyptic number.

23166720 is a gapful number since it is divisible by the number (20) 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 23166720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40097148).

23166720 is an abundant number, since it is smaller than the sum of its proper divisors (57027576).

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

23166720 is a wasteful number, since it uses less digits than its factorization.

23166720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 23166720 is about 4813.1818997416. The cubic root of 23166720 is about 285.0721885465.

The spelling of 23166720 in words is "twenty-three million, one hundred sixty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2011 2304 2880 3840 4022 5760 6033 8044 10055 11520 12066 16088 18099 20110 24132 30165 32176 36198 40220 48264 60330 64352 72396 80440 90495 96528 120660 128704 144792 160880 180990 193056 241320 257408 289584 321760 361980 386112 482640 514816 579168 643520 723960 772224 965280 1158336 1287040 1447920 1544448 1930560 2316672 2574080 2895840 3861120 4633344 5791680 7722240 11583360 23166720