Search a number
-
+
23169564 = 2235112197
BaseRepresentation
bin101100001100…
…0101000011100
31121121010200000
41120120220130
521412411224
62144334300
7400636515
oct130305034
947533600
1023169564
1112095700
127914390
134a53002
143111a0c
15207a0c9
hex1618a1c

23169564 has 108 divisors (see below), whose sum is σ = 67099032. Its totient is φ = 6985440.

The previous prime is 23169563. The next prime is 23169571. The reversal of 23169564 is 46596132.

It is a happy number.

23169564 is a `hidden beast` number, since 2 + 31 + 69 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23169563) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117514 + ... + 117710.

Almost surely, 223169564 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 23169564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33549516).

23169564 is an abundant number, since it is smaller than the sum of its proper divisors (43929468).

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

23169564 is a wasteful number, since it uses less digits than its factorization.

23169564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 213 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 23169564 is about 4813.4773293327. The cubic root of 23169564 is about 285.0838534423.

The spelling of 23169564 in words is "twenty-three million, one hundred sixty-nine thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 197 198 242 243 297 324 363 394 396 484 486 591 594 726 788 891 972 1089 1182 1188 1452 1773 1782 2167 2178 2364 2673 3267 3546 3564 4334 4356 5319 5346 6501 6534 7092 8668 9801 10638 10692 13002 13068 15957 19503 19602 21276 23837 26004 29403 31914 39006 39204 47674 47871 58509 58806 63828 71511 78012 95348 95742 117018 117612 143022 175527 191484 214533 234036 286044 351054 429066 526581 643599 702108 858132 1053162 1287198 1930797 2106324 2574396 3861594 5792391 7723188 11584782 23169564