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2830113216 = 263371713763
BaseRepresentation
bin1010100010110000…
…0001100111000000
321022020100122111000
42220230001213000
521244002110331
61144455052000
7130063364640
oct25054014700
97266318430
102830113216
111222585a47
1266b971000
13361441908
141cbc22520
151186d70e6
hexa8b019c0

2830113216 has 224 divisors, whose sum is σ = 10068641280. Its totient is φ = 760983552.

The previous prime is 2830113211. The next prime is 2830113259. The reversal of 2830113216 is 6123110382.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2830113216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2830113211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198751 + ... + 212513.

Almost surely, 22830113216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2830113216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5034320640).

2830113216 is an abundant number, since it is smaller than the sum of its proper divisors (7238528064).

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

2830113216 is a wasteful number, since it uses less digits than its factorization.

2830113216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13808 (or 13792 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2830113216 is about 53198.8084077078. The cubic root of 2830113216 is about 1414.4945217606.

Adding to 2830113216 its reverse (6123110382), we get a palindrome (8953223598).

The spelling of 2830113216 in words is "two billion, eight hundred thirty million, one hundred thirteen thousand, two hundred sixteen".