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422412000214224 = 243101404921519187
BaseRepresentation
bin110000000001011100111010…
…1001110001011110011010000
32001101122012012120122212222010
41200002321311032023303100
5420331244234023323344
64054221221032342520
7154655155101341526
oct14002716516136320
92041565176585863
10422412000214224
11112658a17954429
123b462338244a40
1315191385912357
147644bc8190316
1533c7d8b14e8b9
hex1802e7538bcd0

422412000214224 has 80 divisors (see below), whose sum is σ = 1102307493787200. Its totient is φ = 139375463884800.

The previous prime is 422412000214199. The next prime is 422412000214231.

422412000214224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 422412000214191 and 422412000214200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8869959 + ... + 30389145.

It is an arithmetic number, because the mean of its divisors is an integer number (13778843672340).

Almost surely, 2422412000214224 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 422412000214224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551153746893600).

422412000214224 is an abundant number, since it is smaller than the sum of its proper divisors (679895493572976).

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

422412000214224 is a wasteful number, since it uses less digits than its factorization.

422412000214224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21523348 (or 21523342 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 422412000 and 214224, that added together give a palindrome (422626224).

The spelling of 422412000214224 in words is "four hundred twenty-two trillion, four hundred twelve billion, two hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 4049 4848 8098 12147 16196 24294 32392 48588 64784 97176 194352 408949 817898 1226847 1635796 2453694 3271592 4907388 6543184 9814776 19629552 21519187 43038374 64557561 86076748 129115122 172153496 258230244 344306992 516460488 1032920976 2173437887 4346875774 6520313661 8693751548 13040627322 17387503096 26081254644 34775006192 52162509288 87131188163 104325018576 174262376326 261393564489 348524752652 522787128978 697049505304 1045574257956 1394099010608 2091148515912 4182297031824 8800250004463 17600500008926 26400750013389 35201000017852 52801500026778 70402000035704 105603000053556 140804000071408 211206000107112 422412000214224