Search a number
-
+
104223681 = 32412832
BaseRepresentation
bin1100011011001…
…01001111000001
321021010010000100
412031211033001
5203140124211
614201513013
72403613062
oct615451701
9237103010
10104223681
1153916881
122aaa2769
1318792123
14dbb0569
15923b156
hex63653c1

104223681 has 27 divisors (see below), whose sum is σ = 156188227. Its totient is φ = 66971040.

The previous prime is 104223631. The next prime is 104223689. The reversal of 104223681 is 186322401.

The square root of 104223681 is 10209.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5022081 + 99201600 = 2241^2 + 9960^2 .

It is not a de Polignac number, because 104223681 - 29 = 104223169 is a prime.

It is a super-2 number, since 2×1042236812 = 21725151362379522, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104223689) 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 26 ways as a sum of consecutive naturals, for example, 1255666 + ... + 1255748.

Almost surely, 2104223681 is an apocalyptic number.

104223681 is the 10209-th square number.

104223681 is the 5105-th centered octagonal number.

It is an amenable number.

104223681 is a deficient number, since it is larger than the sum of its proper divisors (51964546).

104223681 is an frugal number, since it uses more digits than its factorization.

104223681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 104223681 is about 470.6038428503.

Multiplying 104223681 by its product of nonzero digits (2304), we get a square (240131361024 = 4900322).

The spelling of 104223681 in words is "one hundred four million, two hundred twenty-three thousand, six hundred eighty-one".

Divisors: 1 3 9 41 83 123 249 369 747 1681 3403 5043 6889 10209 15129 20667 30627 62001 139523 282449 418569 847347 1255707 2542041 11580409 34741227 104223681