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23329152 = 2732711263
BaseRepresentation
bin101100011111…
…1100110000000
31121220020120200
41120333212000
521433013102
62152005200
7402203010
oct130774600
947806520
1023329152
11121945a0
127990800
134aaa842
143153c40
1520ac51c
hex163f980

23329152 has 192 divisors, whose sum is σ = 84015360. Its totient is φ = 6036480.

The previous prime is 23329147. The next prime is 23329171. The reversal of 23329152 is 25192332.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88573 + ... + 88835.

It is an arithmetic number, because the mean of its divisors is an integer number (437580).

Almost surely, 223329152 is an apocalyptic number.

23329152 is a gapful number since it is divisible by the number (22) 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 23329152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42007680).

23329152 is an abundant number, since it is smaller than the sum of its proper divisors (60686208).

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

23329152 is a wasteful number, since it uses less digits than its factorization.

23329152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 286 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 23329152 is about 4830.0260868861. The cubic root of 23329152 is about 285.7368926874.

The spelling of 23329152 in words is "twenty-three million, three hundred twenty-nine thousand, one hundred fifty-two".