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2193310080 = 2732513171723
BaseRepresentation
bin1000001010111011…
…0100000110000000
312122212002200210200
42002232310012000
513442441410310
61001350125200
7105231554013
oct20256640600
95585080720
102193310080
11a26080365
12512650800
1328c52b620
1416b41937a
15cc8499c0
hex82bb4180

2193310080 has 384 divisors, whose sum is σ = 8641170720. Its totient is φ = 507838464.

The previous prime is 2193310069. The next prime is 2193310081. The reversal of 2193310080 is 800133912.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2193310081) 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 47 ways as a sum of consecutive naturals, for example, 1272099 + ... + 1273821.

Almost surely, 22193310080 is an apocalyptic number.

2193310080 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 2193310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320585360).

2193310080 is an abundant number, since it is smaller than the sum of its proper divisors (6447860640).

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

2193310080 is a wasteful number, since it uses less digits than its factorization.

2193310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1763 counting only the distinct ones).

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

The square root of 2193310080 is about 46832.7885140315. The cubic root of 2193310080 is about 1299.2717972973.

Adding to 2193310080 its reverse (800133912), we get a palindrome (2993443992).

The spelling of 2193310080 in words is "two billion, one hundred ninety-three million, three hundred ten thousand, eighty".