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422432234224 = 247111326375639
BaseRepresentation
bin1100010010110101110…
…11000101101011110000
31111101101000202221100121
412021122323011223300
523410120122443344
6522021312500024
742343156513540
oct6113273055360
91441330687317
10422432234224
11153174a8aa50
1269a5384a614
1330ab1ba9810
14166354d9320
15aec5e56684
hex625aec5af0

422432234224 has 80 divisors (see below), whose sum is σ = 1098914664960. Its totient is φ = 151923674880.

The previous prime is 422432234179. The next prime is 422432234251.

422432234224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4224322342242 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 422432234224.

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, 13171804 + ... + 13203835.

It is an arithmetic number, because the mean of its divisors is an integer number (13736433312).

Almost surely, 2422432234224 is an apocalyptic number.

422432234224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422432234224 is an abundant number, since it is smaller than the sum of its proper divisors (676482430736).

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

422432234224 is a wasteful number, since it uses less digits than its factorization.

422432234224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26375678 (or 26375672 counting only the distinct ones).

The product of its digits is 147456, while the sum is 34.

It can be divided in two parts, 422432 and 234224, that added together give a palindrome (656656).

The spelling of 422432234224 in words is "four hundred twenty-two billion, four hundred thirty-two million, two hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 77 88 91 104 112 143 154 176 182 208 286 308 364 572 616 728 1001 1144 1232 1456 2002 2288 4004 8008 16016 26375639 52751278 105502556 184629473 211005112 290132029 342883307 369258946 422010224 580264058 685766614 738517892 1160528116 1371533228 1477035784 2030924203 2321056232 2400183149 2743066456 2954071568 3771716377 4061848406 4642112464 4800366298 5486132912 7543432754 8123696812 9600732596 15086865508 16247393624 19201465192 26402014639 30173731016 32494787248 38402930384 52804029278 60347462032 105608058556 211216117112 422432234224