Search a number
-
+
4223201110432 = 2523251130717491
BaseRepresentation
bin111101011101001010011…
…001101110100110100000
3112221201211010221220122221
4331131022121232212200
51023143103441013212
612552040052240424
7614054601100363
oct75351231564640
915851733856587
104223201110432
11138905aa234a7
12582599610114
13248327a5c605
141085929000da
1574cc6217807
hex3d74a66e9a0

4223201110432 has 96 divisors (see below), whose sum is σ = 8717652324864. Its totient is φ = 2010090720000.

The previous prime is 4223201110417. The next prime is 4223201110433. The reversal of 4223201110432 is 2340111023224.

It is a junction number, because it is equal to n+sod(n) for n = 4223201110397 and 4223201110406.

It is not an unprimeable number, because it can be changed into a prime (4223201110433) 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, 241441207 + ... + 241458697.

It is an arithmetic number, because the mean of its divisors is an integer number (90808878384).

Almost surely, 24223201110432 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 4223201110432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358826162432).

4223201110432 is an abundant number, since it is smaller than the sum of its proper divisors (4494451214432).

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

4223201110432 is a wasteful number, since it uses less digits than its factorization.

4223201110432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19082 (or 19074 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 4223201110432 its reverse (2340111023224), we get a palindrome (6563312133656).

The spelling of 4223201110432 in words is "four trillion, two hundred twenty-three billion, two hundred one million, one hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 251 368 502 736 1004 1307 2008 2614 4016 5228 5773 8032 10456 11546 17491 20912 23092 30061 34982 41824 46184 60122 69964 92368 120244 139928 184736 240488 279856 328057 402293 480976 559712 656114 804586 961952 1312228 1609172 2624456 3218344 4390241 5248912 6436688 7545311 8780482 10497824 12873376 15090622 17560964 22860737 30181244 35121928 45721474 60362488 70243856 91442948 100975543 120724976 140487712 182885896 201951086 241449952 365771792 403902172 525796951 731543584 807804344 1051593902 1615608688 2103187804 3231217376 4206375608 5738044987 8412751216 11476089974 16825502432 22952179948 45904359896 91808719792 131975034701 183617439584 263950069402 527900138804 1055800277608 2111600555216 4223201110432