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422212334442304 = 2671796043871259
BaseRepresentation
bin101111111111111111111100…
…0001101101101011101000000
32001100221002211112021202012111
41133333333320031231131000
5420320011330104123204
64053545400242105104
7154634556146312440
oct13777777015553500
92040832745252174
10422212334442304
1111259127781578a
123b42b6b464b194
13151785b5916593
147639286632120
1533c2aa21ead04
hex17ffff836d740

422212334442304 has 112 divisors (see below), whose sum is σ = 963026958067200. Its totient is φ = 179907277211136.

The previous prime is 422212334442287. The next prime is 422212334442361. The reversal of 422212334442304 is 403244433212224.

It is a tau number, because it is divible by the number of its divisors (112).

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, 484164627 + ... + 485035885.

Almost surely, 2422212334442304 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 422212334442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481513479033600).

422212334442304 is an abundant number, since it is smaller than the sum of its proper divisors (540814623624896).

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

422212334442304 is a wasteful number, since it uses less digits than its factorization.

422212334442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877500 (or 877490 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

Adding to 422212334442304 its reverse (403244433212224), we get a palindrome (825456767654528).

The spelling of 422212334442304 in words is "four hundred twenty-two trillion, two hundred twelve billion, three hundred thirty-four million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 179 224 358 448 716 1253 1432 2506 2864 5012 5728 6043 10024 11456 12086 20048 24172 40096 42301 48344 80192 84602 96688 169204 193376 338408 386752 676816 871259 1081697 1353632 1742518 2163394 2707264 3485036 4326788 6098813 6970072 7571879 8653576 12197626 13940144 15143758 17307152 24395252 27880288 30287516 34614304 48790504 55760576 60575032 69228608 97581008 121150064 155955361 195162016 242300128 311910722 390324032 484600256 623821444 1091687527 1247642888 2183375054 2495285776 4366750108 4990571552 5265018137 8733500216 9981143104 10530036274 17467000432 21060072548 34934000864 36855126959 42120145096 69868001728 73710253918 84240290192 147420507836 168480580384 294841015672 336961160768 589682031344 942438246523 1179364062688 1884876493046 2358728125376 3769752986092 6597067725661 7539505972184 13194135451322 15079011944368 26388270902644 30158023888736 52776541805288 60316047777472 105553083610576 211106167221152 422212334442304