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23434224000 = 273531144383
BaseRepresentation
bin10101110100110010…
…011110000110000000
32020111011121220221020
4111310302132012000
5340443130132000
614433204425440
71456502421525
oct256462360600
966434556836
1023434224000
119a36010380
1246600a8280
132296024245
1411c444114c
159224d3ba0
hex574c9e180

23434224000 has 256 divisors, whose sum is σ = 84748584960. Its totient is φ = 5680896000.

The previous prime is 23434223993. The next prime is 23434224001. The reversal of 23434224000 is 42243432.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23434224001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505809 + ... + 550191.

It is an arithmetic number, because the mean of its divisors is an integer number (331049160).

Almost surely, 223434224000 is an apocalyptic number.

23434224000 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 23434224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42374292480).

23434224000 is an abundant number, since it is smaller than the sum of its proper divisors (61314360960).

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

23434224000 is a wasteful number, since it uses less digits than its factorization.

23434224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44426 (or 44404 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 23434224000 its reverse (42243432), we get a palindrome (23476467432).

The spelling of 23434224000 in words is "twenty-three billion, four hundred thirty-four million, two hundred twenty-four thousand".