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2193308928 = 2834192293
BaseRepresentation
bin1000001010111011…
…0011110100000000
312122212002122020000
42002232303310000
513442441341203
61001350120000
7105231550446
oct20256636400
95585078200
102193308928
11a2607a508
12512650000
1328c52ac45
1416b418b96
15cc8494a3
hex82bb3d00

2193308928 has 270 divisors, whose sum is σ = 6925937634. Its totient is φ = 690259968.

The previous prime is 2193308927. The next prime is 2193308933. The reversal of 2193308928 is 8298033912.

2193308928 is a `hidden beast` number, since 219 + 330 + 89 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2163366144 + 29942784 = 46512^2 + 5472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2193308921) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 7485550 + ... + 7485842.

Almost surely, 22193308928 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 2193308928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462968817).

2193308928 is an abundant number, since it is smaller than the sum of its proper divisors (4732628706).

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

2193308928 is an equidigital number, since it uses as much as digits as its factorization.

2193308928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2193308928 is about 46832.7762149544. The cubic root of 2193308928 is about 1299.2715698236.

The spelling of 2193308928 in words is "two billion, one hundred ninety-three million, three hundred eight thousand, nine hundred twenty-eight".