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423332233324 = 22711131513132237
BaseRepresentation
bin1100010100100001001…
…00010100000001101100
31111110200202021122000121
412022100210110001230
523413441022431244
6522250502534324
742404365416610
oct6122044240154
91443622248017
10423332233324
11153597011660
126a0651373a4
1330bc64a2970
14166bcc55340
15b029e82c84
hex629091406c

423332233324 has 192 divisors, whose sum is σ = 1004918003712. Its totient is φ = 150688512000.

The previous prime is 423332233319. The next prime is 423332233327.

423332233324 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 423332233324.

It is not an unprimeable number, because it can be changed into a prime (423332233327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189239934 + ... + 189242170.

It is an arithmetic number, because the mean of its divisors is an integer number (5233947936).

Almost surely, 2423332233324 is an apocalyptic number.

423332233324 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 423332233324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502459001856).

423332233324 is an abundant number, since it is smaller than the sum of its proper divisors (581585770388).

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

423332233324 is a wasteful number, since it uses less digits than its factorization.

423332233324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2736 (or 2734 counting only the distinct ones).

The product of its digits is 186624, while the sum is 34.

It can be divided in two parts, 423332 and 233324, that added together give a palindrome (656656).

The spelling of 423332233324 in words is "four hundred twenty-three billion, three hundred thirty-two million, two hundred thirty-three thousand, three hundred twenty-four".