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2112522000 = 2435317139149
BaseRepresentation
bin111110111101010…
…1000011100010000
312110020002020101120
41331322220130100
513311301201000
6545342402240
7103231066161
oct17572503420
95406066346
102112522000
11994511056
124ab590380
13278883624
141607c9768
15c56dc6a0
hex7dea8710

2112522000 has 320 divisors, whose sum is σ = 7312032000. Its totient is φ = 522854400.

The previous prime is 2112521987. The next prime is 2112522029. The reversal of 2112522000 is 2252112.

2112522000 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 63 ways as a sum of consecutive naturals, for example, 14177926 + ... + 14178074.

It is an arithmetic number, because the mean of its divisors is an integer number (22850100).

Almost surely, 22112522000 is an apocalyptic number.

2112522000 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 2112522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656016000).

2112522000 is an abundant number, since it is smaller than the sum of its proper divisors (5199510000).

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

2112522000 is a wasteful number, since it uses less digits than its factorization.

2112522000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2112522000 is about 45962.1801049515. The cubic root of 2112522000 is about 1283.1194261269.

Adding to 2112522000 its reverse (2252112), we get a palindrome (2114774112).

The spelling of 2112522000 in words is "two billion, one hundred twelve million, five hundred twenty-two thousand".