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422301103224 = 2337111328915193
BaseRepresentation
bin1100010010100110001…
…10110111010001111000
31111101000220000210102220
412021103012313101320
523404333040300344
6522000310124040
742340005102450
oct6112306672170
91441026023386
10422301103224
11153107a66320
1269a17950620
1330a90986300
1416621d22d60
15aeb96a2c19
hex62531b7478

422301103224 has 384 divisors, whose sum is σ = 1441412236800. Its totient is φ = 100106772480.

The previous prime is 422301103201. The next prime is 422301103229.

It is a happy number.

422301103224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 422301103194 and 422301103203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422301103229) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 27788172 + ... + 27803364.

It is an arithmetic number, because the mean of its divisors is an integer number (3753677700).

Almost surely, 2422301103224 is an apocalyptic number.

422301103224 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 422301103224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720706118400).

422301103224 is an abundant number, since it is smaller than the sum of its proper divisors (1019111133576).

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

422301103224 is a wasteful number, since it uses less digits than its factorization.

422301103224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15335 (or 15318 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 422301 and 103224, that added together give a palindrome (525525).

The spelling of 422301103224 in words is "four hundred twenty-two billion, three hundred one million, one hundred three thousand, two hundred twenty-four".