Search a number
-
+
4224122023240 = 235715086150083
BaseRepresentation
bin111101011110000001010…
…010101110110101001000
3112221211012022211010112201
4331132001102232311020
51023202000214220430
612552311310445544
7614116452526360
oct75360122566510
915854168733481
104224122023240
111389492839969
125827b5b038b4
13248443798a32
1410863cd419a0
1574d2bec58ca
hex3d7814aed48

4224122023240 has 32 divisors (see below), whose sum is σ = 10862028060480. Its totient is φ = 1448270407872.

The previous prime is 4224122023223. The next prime is 4224122023271. The reversal of 4224122023240 is 423202214224.

It is a happy number.

4224122023240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42241220232402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4224122023199 and 4224122023208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7543074762 + ... + 7543075321.

It is an arithmetic number, because the mean of its divisors is an integer number (339438376890).

Almost surely, 24224122023240 is an apocalyptic number.

4224122023240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4224122023240 is an abundant number, since it is smaller than the sum of its proper divisors (6637906037240).

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

4224122023240 is a wasteful number, since it uses less digits than its factorization.

4224122023240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15086150101 (or 15086150097 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 4224122023240 its reverse (423202214224), we get a palindrome (4647324237464).

The spelling of 4224122023240 in words is "four trillion, two hundred twenty-four billion, one hundred twenty-two million, twenty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 15086150083 30172300166 60344600332 75430750415 105603050581 120689200664 150861500830 211206101162 301723001660 422412202324 528015252905 603446003320 844824404648 1056030505810 2112061011620 4224122023240