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23066424 = 2333234643
BaseRepresentation
bin101011111111…
…1011100111000
31121101220012000
41113333130320
521401111144
62142221000
7400030023
oct127773470
947356160
1023066424
1112025167
127884760
134a18094
1430c61ba
152059769
hex15ff738

23066424 has 64 divisors (see below), whose sum is σ = 66873600. Its totient is φ = 7352928.

The previous prime is 23066423. The next prime is 23066431. The reversal of 23066424 is 42466032.

23066424 is a `hidden beast` number, since 230 + 6 + 6 + 424 = 666.

It is a super-2 number, since 2×230664242 = 1064119832295552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23066423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2647 + ... + 7289.

It is an arithmetic number, because the mean of its divisors is an integer number (1044900).

Almost surely, 223066424 is an apocalyptic number.

23066424 is a gapful number since it is divisible by the number (24) 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 23066424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33436800).

23066424 is an abundant number, since it is smaller than the sum of its proper divisors (43807176).

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

23066424 is a wasteful number, since it uses less digits than its factorization.

23066424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4681 (or 4671 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 23066424 is about 4802.7517112589. The cubic root of 23066424 is about 284.6602044529.

The spelling of 23066424 in words is "twenty-three million, sixty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4643 4968 9286 13929 18572 27858 37144 41787 55716 83574 106789 111432 125361 167148 213578 250722 320367 334296 427156 501444 640734 854312 961101 1002888 1281468 1922202 2562936 2883303 3844404 5766606 7688808 11533212 23066424