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104972229 = 32171016793
BaseRepresentation
bin1100100000110…
…11111111000101
321022112010211100
412100123333011
5203333102404
614225530313
72413151325
oct620337705
9238463740
10104972229
115428820a
122b1a3999
1318994a5b
14dd27285
159337d39
hex641bfc5

104972229 has 24 divisors (see below), whose sum is σ = 162159192. Its totient is φ = 65203200.

The previous prime is 104972227. The next prime is 104972233. The reversal of 104972229 is 922279401.

It can be written as a sum of positive squares in 4 ways, for example, as 33907329 + 71064900 = 5823^2 + 8430^2 .

It is not a de Polignac number, because 104972229 - 21 = 104972227 is a prime.

It is a super-2 number, since 2×1049722292 = 22038337722456882, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 104972193 and 104972202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104972221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12057 + ... + 18849.

It is an arithmetic number, because the mean of its divisors is an integer number (6756633).

Almost surely, 2104972229 is an apocalyptic number.

It is an amenable number.

104972229 is a deficient number, since it is larger than the sum of its proper divisors (57186963).

104972229 is a wasteful number, since it uses less digits than its factorization.

104972229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6917 (or 6914 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 104972229 is about 10245.5955903012. The cubic root of 104972229 is about 471.7278022755.

The spelling of 104972229 in words is "one hundred four million, nine hundred seventy-two thousand, two hundred twenty-nine".

Divisors: 1 3 9 17 51 101 153 303 909 1717 5151 6793 15453 20379 61137 115481 346443 686093 1039329 2058279 6174837 11663581 34990743 104972229