Search a number
-
+
23016192 = 283231303
BaseRepresentation
bin101011111001…
…1001100000000
31121022100021120
41113303030000
521343004232
62141152240
7366430413
oct127631400
947270246
1023016192
1111aa0451
12785b680
1349cb264
1430b1b7a
15204992c
hex15f3300

23016192 has 72 divisors (see below), whose sum is σ = 63969024. Its totient is φ = 7332864.

The previous prime is 23016187. The next prime is 23016199. The reversal of 23016192 is 29161032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (23016199) 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 7 ways as a sum of consecutive naturals, for example, 17013 + ... + 18315.

Almost surely, 223016192 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 23016192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31984512).

23016192 is an abundant number, since it is smaller than the sum of its proper divisors (40952832).

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

23016192 is a wasteful number, since it uses less digits than its factorization.

23016192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 23016192 is about 4797.5193590021. The cubic root of 23016192 is about 284.4534184090.

The spelling of 23016192 in words is "twenty-three million, sixteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 552 736 768 1104 1303 1472 2208 2606 2944 3909 4416 5212 5888 7818 8832 10424 15636 17664 20848 29969 31272 41696 59938 62544 83392 89907 119876 125088 166784 179814 239752 250176 333568 359628 479504 500352 719256 959008 1000704 1438512 1918016 2877024 3836032 5754048 7672064 11508096 23016192