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23327136 = 2533721929
BaseRepresentation
bin101100011111…
…1000110100000
31121220010211000
41120333012200
521432432021
62151552000
7402164100
oct130770640
947803730
1023327136
1112193028
12798b600
134aa9951
143153200
1520abb26
hex163f1a0

23327136 has 288 divisors, whose sum is σ = 86184000. Its totient is φ = 6096384.

The previous prime is 23327123. The next prime is 23327137. The reversal of 23327136 is 63172332.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4536) is a multiple of the sum of its prime factors (81).

It is not an unprimeable number, because it can be changed into a prime (23327137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 804370 + ... + 804398.

It is an arithmetic number, because the mean of its divisors is an integer number (299250).

Almost surely, 223327136 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 23327136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43092000).

23327136 is an abundant number, since it is smaller than the sum of its proper divisors (62856864).

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

23327136 is a wasteful number, since it uses less digits than its factorization.

23327136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 60 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 23327136 is about 4829.8173878523. The cubic root of 23327136 is about 285.7286617528.

Adding to 23327136 its reverse (63172332), we get a palindrome (86499468).

The spelling of 23327136 in words is "twenty-three million, three hundred twenty-seven thousand, one hundred thirty-six".