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20193332229 = 3272291578961
BaseRepresentation
bin10010110011100111…
…011100110000000101
31221010022022120012200
4102303213130300011
5312323443112404
613135433105113
71313260330500
oct226347346005
957108276180
1020193332229
118622678424
123ab6858199
131b9a768cc5
14d97c50137
157d2c09839
hex4b39dcc05

20193332229 has 36 divisors (see below), whose sum is σ = 35100325260. Its totient is φ = 11141141760.

The previous prime is 20193332209. The next prime is 20193332231. The reversal of 20193332229 is 92223339102.

It can be written as a sum of positive squares in 2 ways, for example, as 4643741025 + 15549591204 = 68145^2 + 124698^2 .

It is not a de Polignac number, because 20193332229 - 217 = 20193201157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20193332193 and 20193332202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20193332209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 776692 + ... + 802269.

It is an arithmetic number, because the mean of its divisors is an integer number (975009035).

Almost surely, 220193332229 is an apocalyptic number.

20193332229 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

20193332229 is a deficient number, since it is larger than the sum of its proper divisors (14906993031).

20193332229 is a wasteful number, since it uses less digits than its factorization.

20193332229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579010 (or 1579000 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The spelling of 20193332229 in words is "twenty billion, one hundred ninety-three million, three hundred thirty-two thousand, two hundred twenty-nine".

Divisors: 1 3 7 9 21 29 49 63 87 147 203 261 441 609 1421 1827 4263 12789 1578961 4736883 11052727 14210649 33158181 45789869 77369089 99474543 137369607 232107267 320529083 412108821 696321801 961587249 2243703581 2884761747 6731110743 20193332229