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422931710224 = 241924321992
BaseRepresentation
bin1100010011110001011…
…00011100000100010000
31111102122211121221121201
412021320230130010100
523412131004211344
6522143034200544
742361433136022
oct6117054340420
91442584557551
10422931710224
11153400a19731
1269b72b83154
1330b6150a24a
1416681996012
15b004c194d4
hex6278b1c110

422931710224 has 135 divisors (see below), whose sum is σ = 889879633623. Its totient is φ = 194693792832.

The previous prime is 422931710213. The next prime is 422931710251. The reversal of 422931710224 is 422017139224.

The square root of 422931710224 is 650332.

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

It is a super-2 number, since 2×4229317102242 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2125284877 + ... + 2125285075.

Almost surely, 2422931710224 is an apocalyptic number.

422931710224 is the 650332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422931710224

422931710224 is an abundant number, since it is smaller than the sum of its proper divisors (466947923399).

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

422931710224 is an equidigital number, since it uses as much as digits as its factorization.

422931710224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

Adding to 422931710224 its reverse (422017139224), we get a palindrome (844948849448).

The spelling of 422931710224 in words is "four hundred twenty-two billion, nine hundred thirty-one million, seven hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 19 38 43 76 86 152 172 199 304 344 361 398 688 722 796 817 1444 1592 1634 1849 2888 3184 3268 3698 3781 5776 6536 7396 7562 8557 13072 14792 15124 15523 17114 29584 30248 31046 34228 35131 39601 60496 62092 68456 70262 71839 79202 124184 136912 140524 143678 158404 162583 248368 281048 287356 316808 325166 367951 562096 574712 633616 650332 667489 735902 752419 1149424 1300664 1334978 1471804 1504838 1702843 2601328 2669956 2943608 3009676 3089077 3405686 5339912 5887216 6019352 6178154 6811372 6991069 10679824 12038704 12356308 13622744 13982138 14295961 24712616 27245488 27964276 28591922 32354017 49425232 55928552 57183844 64708034 73222249 111857104 114367688 129416068 132830311 146444498 228735376 258832136 265660622 292888996 517664272 531321244 585777992 614726323 1062642488 1171555984 1229452646 1391222731 2125284976 2458905292 2782445462 4917810584 5564890924 9835621168 11129781848 22259563696 26433231889 52866463778 105732927556 211465855112 422931710224