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2112324000 = 253531031709
BaseRepresentation
bin111110111100111…
…1000000110100000
312110012201011210020
41331321320012200
513311223332000
6545334233440
7103226313003
oct17571700640
95405634706
102112324000
11994396316
124ab4b5880
13278814477
1416077753a
15c569dba0
hex7de781a0

2112324000 has 192 divisors, whose sum is σ = 6991246080. Its totient is φ = 557491200.

The previous prime is 2112323981. The next prime is 2112324013. The reversal of 2112324000 is 4232112.

2112324000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

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, 1235146 + ... + 1236854.

It is an arithmetic number, because the mean of its divisors is an integer number (36412740).

Almost surely, 22112324000 is an apocalyptic number.

2112324000 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 2112324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495623040).

2112324000 is an abundant number, since it is smaller than the sum of its proper divisors (4878922080).

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

2112324000 is a wasteful number, since it uses less digits than its factorization.

2112324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2112324000 is about 45960.0261096532. The cubic root of 2112324000 is about 1283.0793373004.

Adding to 2112324000 its reverse (4232112), we get a palindrome (2116556112).

The spelling of 2112324000 in words is "two billion, one hundred twelve million, three hundred twenty-four thousand".