Search a number
-
+
104221224 = 23327379251
BaseRepresentation
bin1100011011001…
…00101000101000
321021002222122100
412031210220220
5203140034344
614201453400
72403602652
oct615445050
9237088570
10104221224
1153914a48
122aaa1260
1318790c83
14dbad6d2
15923a569
hex6364a28

104221224 has 96 divisors (see below), whose sum is σ = 290908800. Its totient is φ = 33696000.

The previous prime is 104221223. The next prime is 104221241. The reversal of 104221224 is 422122401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104221197 and 104221206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104221223) 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 23 ways as a sum of consecutive naturals, for example, 415099 + ... + 415349.

It is an arithmetic number, because the mean of its divisors is an integer number (3030300).

Almost surely, 2104221224 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 104221224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145454400).

104221224 is an abundant number, since it is smaller than the sum of its proper divisors (186687576).

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

104221224 is a wasteful number, since it uses less digits than its factorization.

104221224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 104221224 is about 10208.8796642923. The cubic root of 104221224 is about 470.6001447697.

Adding to 104221224 its reverse (422122401), we get a palindrome (526343625).

The spelling of 104221224 in words is "one hundred four million, two hundred twenty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 79 146 158 219 237 251 292 316 438 474 502 584 632 657 711 753 876 948 1004 1314 1422 1506 1752 1896 2008 2259 2628 2844 3012 4518 5256 5688 5767 6024 9036 11534 17301 18072 18323 19829 23068 34602 36646 39658 46136 51903 54969 59487 69204 73292 79316 103806 109938 118974 138408 146584 158632 164907 178461 207612 219876 237948 329814 356922 415224 439752 475896 659628 713844 1319256 1427688 1447517 2895034 4342551 5790068 8685102 11580136 13027653 17370204 26055306 34740408 52110612 104221224