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422023320224 = 251119113558421
BaseRepresentation
bin1100010010000101000…
…11001101001010100000
31111100022112022221210122
412021002203031022200
523403300432221344
6521512544215412
742330063014462
oct6110243151240
91440275287718
10422023320224
11152a851868a0
126995a90a568
1330a48266a7c
14165d7094132
15aea00d1aee
hex62428cd2a0

422023320224 has 96 divisors (see below), whose sum is σ = 962540832960. Its totient is φ = 180123955200.

The previous prime is 422023320223. The next prime is 422023320293.

422023320224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 422023320193 and 422023320202.

It is not an unprimeable number, because it can be changed into a prime (422023320223) 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, 476534 + ... + 1034954.

It is an arithmetic number, because the mean of its divisors is an integer number (10026467010).

Almost surely, 2422023320224 is an apocalyptic number.

422023320224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422023320224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481270416480).

422023320224 is an abundant number, since it is smaller than the sum of its proper divisors (540517512736).

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

422023320224 is a wasteful number, since it uses less digits than its factorization.

422023320224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558574 (or 558566 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

It can be divided in two parts, 422023 and 320224, that added together give a palindrome (742247).

The spelling of 422023320224 in words is "four hundred twenty-two billion, twenty-three million, three hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 113 152 176 209 226 304 352 418 452 608 836 904 1243 1672 1808 2147 2486 3344 3616 4294 4972 6688 8588 9944 17176 19888 23617 34352 39776 47234 68704 94468 188936 377872 558421 755744 1116842 2233684 4467368 6142631 8934736 10609999 12285262 17869472 21219998 24570524 42439996 49141048 63101573 84879992 98282096 116709989 126203146 169759984 196564192 233419978 252406292 339519968 466839956 504812584 694117303 933679912 1009625168 1198929887 1388234606 1867359824 2019250336 2397859774 2776469212 3734719648 4795719548 5552938424 9591439096 11105876848 13188228757 19182878192 22211753696 26376457514 38365756384 52752915028 105505830056 211011660112 422023320224