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23232012000 = 253537272663
BaseRepresentation
bin10101101000101111…
…000101111011100000
32012222002010111012220
4111220233011323200
5340034343341000
614401142351040
71451465562261
oct255057057340
965862114186
1023232012000
11994195751a
12460442b480
132263174182
1411a5644968
1590e88e1a0
hex568bc5ee0

23232012000 has 192 divisors, whose sum is σ = 76241378304. Its totient is φ = 6184358400.

The previous prime is 23232011989. The next prime is 23232012047. The reversal of 23232012000 is 21023232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8722669 + ... + 8725331.

It is an arithmetic number, because the mean of its divisors is an integer number (397090512).

Almost surely, 223232012000 is an apocalyptic number.

23232012000 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 23232012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38120689152).

23232012000 is an abundant number, since it is smaller than the sum of its proper divisors (53009366304).

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

23232012000 is a wasteful number, since it uses less digits than its factorization.

23232012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418 (or 3400 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 23232012000 its reverse (21023232), we get a palindrome (23253035232).

It can be divided in two parts, 232320 and 12000, that multiplied together give a square (2787840000 = 528002).

The spelling of 23232012000 in words is "twenty-three billion, two hundred thirty-two million, twelve thousand".