Search a number
-
+
422221122224 = 24112419954289
BaseRepresentation
bin1100010010011100101…
…01110000101010110000
31111100211022112100010122
412021032111300222300
523404202101402344
6521544331545412
742335014215626
oct6111625605260
91440738470118
10422221122224
111530768a8420
12699b4bbb268
1330a7a231785
1416615463516
15aeb2654aee
hex624e570ab0

422221122224 has 40 divisors (see below), whose sum is σ = 896125002960. Its totient is φ = 191122329600.

The previous prime is 422221122221. The next prime is 422221122233.

422221122224 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 422221122193 and 422221122202.

It is not an unprimeable number, because it can be changed into a prime (422221122221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4934729 + ... + 5019560.

It is an arithmetic number, because the mean of its divisors is an integer number (22403125074).

Almost surely, 2422221122224 is an apocalyptic number.

422221122224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422221122224 is an abundant number, since it is smaller than the sum of its proper divisors (473903880736).

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

422221122224 is a wasteful number, since it uses less digits than its factorization.

422221122224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9954549 (or 9954543 counting only the distinct ones).

The product of its digits is 4096, while the sum is 26.

It can be divided in two parts, 422221 and 122224, that added together give a palindrome (544445).

The spelling of 422221122224 in words is "four hundred twenty-two billion, two hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 241 482 964 1928 2651 3856 5302 10604 21208 42416 9954289 19908578 39817156 79634312 109497179 159268624 218994358 437988716 875977432 1751954864 2398983649 4797967298 9595934596 19191869192 26388820139 38383738384 52777640278 105555280556 211110561112 422221122224