Search a number
-
+
22444303024 = 24111371138163
BaseRepresentation
bin10100111001110010…
…001110001010110000
32010221011220201122101
4110321302032022300
5331431220144044
614151043150144
71423122266533
oct247162161260
963834821571
1022444303024
119578251070
124424675354
132168c058a0
14112cb98a1a
158b5643cd4
hex539c8e2b0

22444303024 has 80 divisors (see below), whose sum is σ = 51808184064. Its totient is φ = 9284486400.

The previous prime is 22444302997. The next prime is 22444303027. The reversal of 22444303024 is 42030344422.

It is a happy number.

It is a super-3 number, since 3×224443030243 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22444302983 and 22444303001.

It is not an unprimeable number, because it can be changed into a prime (22444303027) 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, 93367 + ... + 231529.

Almost surely, 222444303024 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 22444303024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25904092032).

22444303024 is an abundant number, since it is smaller than the sum of its proper divisors (29363881040).

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

22444303024 is a wasteful number, since it uses less digits than its factorization.

22444303024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138266 (or 138260 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 22444303024 its reverse (42030344422), we get a palindrome (64474647446).

The spelling of 22444303024 in words is "twenty-two billion, four hundred forty-four million, three hundred three thousand, twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 71 88 104 142 143 176 208 284 286 568 572 781 923 1136 1144 1562 1846 2288 3124 3692 6248 7384 10153 12496 14768 20306 40612 81224 138163 162448 276326 552652 1105304 1519793 1796119 2210608 3039586 3592238 6079172 7184476 9809573 12158344 14368952 19619146 19757309 24316688 28737904 39238292 39514618 78476584 79029236 107905303 127524449 156953168 158058472 215810606 255048898 316116944 431621212 510097796 863242424 1020195592 1402768939 1726484848 2040391184 2805537878 5611075756 11222151512 22444303024