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20232000 = 263253281
BaseRepresentation
bin100110100101…
…1011101000000
31102001220002100
41031023131000
520134411000
62001350400
7333653265
oct115133500
942056070
1020232000
1110469668
126938400
134264bc9
14298926c
151b99a00
hex134b740

20232000 has 168 divisors, whose sum is σ = 72630792. Its totient is φ = 5376000.

The previous prime is 20231987. The next prime is 20232001. The reversal of 20232000 is 23202.

It can be written as a sum of positive squares in 4 ways, for example, as 304704 + 19927296 = 552^2 + 4464^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20232001) 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 23 ways as a sum of consecutive naturals, for example, 71860 + ... + 72140.

Almost surely, 220232000 is an apocalyptic number.

20232000 is a gapful number since it is divisible by the number (20) 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 20232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36315396).

20232000 is an abundant number, since it is smaller than the sum of its proper divisors (52398792).

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

20232000 is a wasteful number, since it uses less digits than its factorization.

20232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 20232000 is about 4497.9995553579. Note that the first 3 decimals coincide. The cubic root of 20232000 is about 272.4873040686.

Adding to 20232000 its reverse (23202), we get a palindrome (20255202).

The spelling of 20232000 in words is "twenty million, two hundred thirty-two thousand".