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422341143224 = 237111355919433
BaseRepresentation
bin1100010010101010111…
…11100110101010111000
31111101010200101000222212
412021111133212222320
523404423313040344
6522004300234252
742341002325240
oct6112537465270
91441120330885
10422341143224
11153128623a30
1269a2923b988
1330a99065110
1416627386b20
15aebce6179e
hex62557e6ab8

422341143224 has 128 divisors (see below), whose sum is σ = 1063539348480. Its totient is φ = 151847654400.

The previous prime is 422341143209. The next prime is 422341143229.

It is a happy number.

422341143224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4223411432242 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422341143229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44768012 + ... + 44777444.

It is an arithmetic number, because the mean of its divisors is an integer number (8308901160).

Almost surely, 2422341143224 is an apocalyptic number.

422341143224 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 422341143224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531769674240).

422341143224 is an abundant number, since it is smaller than the sum of its proper divisors (641198205256).

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

422341143224 is a wasteful number, since it uses less digits than its factorization.

422341143224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15061 (or 15057 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

It can be divided in two parts, 422341 and 143224, that added together give a palindrome (565565).

The spelling of 422341143224 in words is "four hundred twenty-two billion, three hundred forty-one million, one hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 5591 8008 9433 11182 18866 22364 37732 39137 44728 61501 66031 72683 75464 78274 103763 122629 123002 132062 145366 156548 207526 245258 246004 264124 290732 313096 415052 430507 490516 492008 508781 528248 581464 726341 799513 830104 858403 861014 981032 1017562 1348919 1452682 1599026 1716806 1722028 2035124 2697838 2905364 3198052 3433612 3444056 4070248 5395676 5596591 5810728 6396104 6867224 9442433 10791352 11193182 18884866 22386364 37769732 44772728 52739903 75539464 105479806 210959612 369179321 421919224 580138933 685618739 738358642 1160277866 1371237478 1476717284 2320555732 2742474956 2953434568 4060972531 4641111464 4799331173 5484949912 7541806129 8121945062 9598662346 15083612258 16243890124 19197324692 30167224516 32487780248 38394649384 52792642903 60334449032 105585285806 211170571612 422341143224