Search a number
-
+
23001336 = 23321013163
BaseRepresentation
bin101011110111…
…1100011111000
31121021120220100
41113233203320
521342020321
62140555400
7366336201
oct127574370
947246810
1023001336
1111a90276
127852b60
1349c4577
1430aa5a8
152045326
hex15ef8f8

23001336 has 48 divisors (see below), whose sum is σ = 62931960. Its totient is φ = 7588800.

The previous prime is 23001313. The next prime is 23001337. The reversal of 23001336 is 63310032.

It is a happy number.

It is a super-2 number, since 2×230013362 = 1058122915569792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23001337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5691 + ... + 8853.

Almost surely, 223001336 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 23001336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31465980).

23001336 is an abundant number, since it is smaller than the sum of its proper divisors (39930624).

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

23001336 is a wasteful number, since it uses less digits than its factorization.

23001336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 23001336 is about 4795.9708089187. The cubic root of 23001336 is about 284.3922042645.

Adding to 23001336 its reverse (63310032), we get a palindrome (86311368).

The spelling of 23001336 in words is "twenty-three million, one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3163 3636 6326 7272 9489 12652 18978 25304 28467 37956 56934 75912 113868 227736 319463 638926 958389 1277852 1916778 2555704 2875167 3833556 5750334 7667112 11500668 23001336