Search a number
-
+
412344202224 = 24341475944027
BaseRepresentation
bin1100000000000011010…
…00010011001111110000
31110102022222100211000210
412000001220103033300
523223440103432344
6513232303144120
741535162613533
oct6000150231760
91412288324023
10412344202224
11149968609219
1267ab92a5040
132cb64ba9106
1415d597bca1a
15aad54a9db9
hex6001a133f0

412344202224 has 80 divisors (see below), whose sum is σ = 1091457642240. Its totient is φ = 134064453120.

The previous prime is 412344202223. The next prime is 412344202247. The reversal of 412344202224 is 422202443214.

It is a happy number.

It is a super-2 number, since 2×4123442022242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 412344202191 and 412344202200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412344202223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9343699 + ... + 9387725.

It is an arithmetic number, because the mean of its divisors is an integer number (13643220528).

Almost surely, 2412344202224 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 412344202224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545728821120).

412344202224 is an abundant number, since it is smaller than the sum of its proper divisors (679113440016).

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

412344202224 is a wasteful number, since it uses less digits than its factorization.

412344202224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48838 (or 48832 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 412344202224 its reverse (422202443214), we get a palindrome (834546645438).

The spelling of 412344202224 in words is "four hundred twelve billion, three hundred forty-four million, two hundred two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1968 4759 9518 14277 19036 28554 38072 44027 57108 76144 88054 114216 132081 176108 195119 228432 264162 352216 390238 528324 585357 704432 780476 1056648 1170714 1560952 1805107 2113296 2341428 3121904 3610214 4682856 5415321 7220428 9365712 10830642 14440856 21661284 28881712 43322568 86645136 209524493 419048986 628573479 838097972 1257146958 1676195944 2514293916 3352391888 5028587832 8590504213 10057175664 17181008426 25771512639 34362016852 51543025278 68724033704 103086050556 137448067408 206172101112 412344202224