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422321123224 = 2371113100952267
BaseRepresentation
bin1100010010101000100…
…11001110111110011000
31111101002021200220201101
412021110103032332120
523404403201420344
6522002303201144
742340340214010
oct6112423167630
91441067626641
10422321123224
1115311829a680
1269a225a61b4
1330a94b75870
1416624854c40
15aebb3099d4
hex62544cef98

422321123224 has 128 divisors (see below), whose sum is σ = 1064260108800. Its totient is φ = 151730288640.

The previous prime is 422321123219. The next prime is 422321123233.

422321123224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4223211232242 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 422321123192 and 422321123201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8053939 + ... + 8106205.

It is an arithmetic number, because the mean of its divisors is an integer number (8314532100).

Almost surely, 2422321123224 is an apocalyptic number.

422321123224 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 422321123224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532130054400).

422321123224 is an abundant number, since it is smaller than the sum of its proper divisors (641938985576).

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

422321123224 is a wasteful number, since it uses less digits than its factorization.

422321123224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53313 (or 53309 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

It can be divided in two parts, 422321 and 123224, that added together give a palindrome (545545).

The spelling of 422321123224 in words is "four hundred twenty-two billion, three hundred twenty-one million, one hundred twenty-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 1009 1144 2002 2018 4004 4036 7063 8008 8072 11099 13117 14126 22198 26234 28252 44396 52267 52468 56504 77693 88792 91819 104534 104936 144287 155386 183638 209068 288574 310772 365869 367276 418136 574937 577148 621544 679471 731738 734552 1010009 1149874 1154296 1358942 1463476 2020018 2299748 2717884 2926952 4024559 4040036 4599496 4756297 5435768 7474181 8049118 8080072 9512594 14948362 16098236 19025188 29896724 32196472 38050376 52319267 52737403 59793448 104638534 105474806 209277068 210949612 369161821 418554136 421899224 580111433 685586239 738323642 1160222866 1371172478 1476647284 2320445732 2742344956 2953294568 4060780031 4640891464 4799103673 5484689912 7541448629 8121560062 9598207346 15082897258 16243120124 19196414692 30165794516 32486240248 38392829384 52790140403 60331589032 105580280806 211160561612 422321123224