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23214768 = 243835827
BaseRepresentation
bin101100010001…
…1101010110000
31121200102200020
41120203222300
521420333033
62145323440
7401215353
oct130435260
947612606
1023214768
1112116665
127936580
134a6a765
14312429a
1520886b3
hex1623ab0

23214768 has 40 divisors (see below), whose sum is σ = 60704448. Its totient is φ = 7643712.

The previous prime is 23214767. The next prime is 23214791. The reversal of 23214768 is 86741232.

It is not an unprimeable number, because it can be changed into a prime (23214767) 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, 1071 + ... + 6897.

Almost surely, 223214768 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 23214768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30352224).

23214768 is an abundant number, since it is smaller than the sum of its proper divisors (37489680).

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

23214768 is a wasteful number, since it uses less digits than its factorization.

23214768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5921 (or 5915 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 23214768 is about 4818.1706071911. The cubic root of 23214768 is about 285.2691332740.

The spelling of 23214768 in words is "twenty-three million, two hundred fourteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3984 5827 11654 17481 23308 34962 46616 69924 93232 139848 279696 483641 967282 1450923 1934564 2901846 3869128 5803692 7738256 11607384 23214768