Search a number
-
+
5222663824 = 2472292892
BaseRepresentation
bin1001101110100101…
…11000011010010000
3111110222100210220111
410313102320122100
541144000220244
62222123451104
7243264624100
oct46722703220
914428323814
105222663824
11224006a6a4
121019086a94
1365301c931
143778a3200
1520878ae34
hex1374b8690

5222663824 has 135 divisors (see below), whose sum is σ = 12329385627. Its totient is φ = 2136820224.

The previous prime is 5222663807. The next prime is 5222663827. The reversal of 5222663824 is 4283662225.

The square root of 5222663824 is 72268.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 478209424 + 4744454400 = 21868^2 + 68880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5222663827) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58681572 + ... + 58681660.

Almost surely, 25222663824 is an apocalyptic number.

5222663824 is the 72268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5222663824

5222663824 is an abundant number, since it is smaller than the sum of its proper divisors (7106721803).

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

5222663824 is an equidigital number, since it uses as much as digits as its factorization.

5222663824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 127 counting only the distinct ones).

The product of its digits is 276480, while the sum is 40.

The cubic root of 5222663824 is about 1734.9915231836.

The spelling of 5222663824 in words is "five billion, two hundred twenty-two million, six hundred sixty-three thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 89 98 112 116 178 196 203 232 356 392 406 464 623 712 784 812 841 1246 1421 1424 1624 1682 2492 2581 2842 3248 3364 4361 4984 5162 5684 5887 6728 7921 8722 9968 10324 11368 11774 13456 15842 17444 18067 20648 22736 23548 31684 34888 36134 41209 41296 47096 55447 63368 69776 72268 74849 82418 94192 110894 126469 126736 144536 149698 164836 221788 229709 252938 289072 299396 329672 388129 443576 459418 505876 523943 598792 659344 776258 887152 918836 1011752 1047886 1197584 1552516 1607963 1837672 2023504 2095772 3105032 3215926 3667601 3675344 4191544 6210064 6431852 6661561 7335202 8383088 11255741 12863704 13323122 14670404 22511482 25727408 26646244 29340808 45022964 46630927 53292488 58681616 90045928 93261854 106584976 180091856 186523708 326416489 373047416 652832978 746094832 1305665956 2611331912 5222663824