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23132023200 = 25335211137489
BaseRepresentation
bin10101100010110001…
…101010100110100000
32012201002222112101000
4111202301222212200
5334333244220300
614343211312000
71446142644606
oct254261524640
965632875330
1023132023200
1198a0473450
124596a4b600
1322485357c0
141196257876
15905bdcc00
hex562c6a9a0

23132023200 has 576 divisors, whose sum is σ = 98299958400. Its totient is φ = 5175705600.

The previous prime is 23132023183. The next prime is 23132023219. The reversal of 23132023200 is 232023132.

It is a happy number.

23132023200 is a `hidden beast` number, since 23 + 1 + 320 + 2 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3085056 + ... + 3092544.

It is an arithmetic number, because the mean of its divisors is an integer number (170659650).

Almost surely, 223132023200 is an apocalyptic number.

23132023200 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 23132023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49149979200).

23132023200 is an abundant number, since it is smaller than the sum of its proper divisors (75167935200).

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

23132023200 is a wasteful number, since it uses less digits than its factorization.

23132023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7542 (or 7523 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23132023200 its reverse (232023132), we get a palindrome (23364046332).

The spelling of 23132023200 in words is "twenty-three billion, one hundred thirty-two million, twenty-three thousand, two hundred".