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2103216192 = 26347112479
BaseRepresentation
bin111110101011100…
…1000100001000000
312102120120110020000
41331113020201000
513301410404232
6544411120000
7103056020430
oct17527104100
95376513200
102103216192
1198a235500
124a8443000
13276975a2c
1415d4862c0
15c49a027c
hex7d5c8840

2103216192 has 420 divisors, whose sum is σ = 7848234240. Its totient is φ = 545149440.

The previous prime is 2103216179. The next prime is 2103216211. The reversal of 2103216192 is 2916123012.

2103216192 is a `hidden beast` number, since 2 + 10 + 32 + 1 + 619 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4390609 + ... + 4391087.

It is an arithmetic number, because the mean of its divisors is an integer number (18686272).

Almost surely, 22103216192 is an apocalyptic number.

2103216192 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 2103216192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3924117120).

2103216192 is an abundant number, since it is smaller than the sum of its proper divisors (5745018048).

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

2103216192 is a wasteful number, since it uses less digits than its factorization.

2103216192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 2103216192 is about 45860.8350556333. The cubic root of 2103216192 is about 1281.2325757313.

The spelling of 2103216192 in words is "two billion, one hundred three million, two hundred sixteen thousand, one hundred ninety-two".