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2130606192 = 24311131719312
BaseRepresentation
bin111111011111110…
…0111100001110000
312111111010000020110
41332333213201300
513330413344232
6551230141320
7103540565601
oct17677474160
95444100213
102130606192
119a3742a70
124b5651840
1327c545a30
14162d75da8
15c70b0acc
hex7efe7870

2130606192 has 480 divisors, whose sum is σ = 7447023360. Its totient is φ = 514252800.

The previous prime is 2130606169. The next prime is 2130606197. The reversal of 2130606192 is 2916060312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130606197) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68729217 + ... + 68729247.

It is an arithmetic number, because the mean of its divisors is an integer number (15514632).

Almost surely, 22130606192 is an apocalyptic number.

2130606192 is a gapful number since it is divisible by the number (22) 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 2130606192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723511680).

2130606192 is an abundant number, since it is smaller than the sum of its proper divisors (5316417168).

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

2130606192 is a wasteful number, since it uses less digits than its factorization.

2130606192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 2130606192 is about 46158.4899233066. The cubic root of 2130606192 is about 1286.7703984785.

The spelling of 2130606192 in words is "two billion, one hundred thirty million, six hundred six thousand, one hundred ninety-two".