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422631000136224 = 2532112233571147661
BaseRepresentation
bin110000000011000010111001…
…0101000100101101000100000
32001102102010111001122121121100
41200012011302220211220200
5420343341242013324344
64054510000124554400
7155010040112065245
oct14006056250455040
92042363431577540
10422631000136224
11112732889678200
123b4988769b2a00
13151a8c17372609
1476516417c95cc
1533cd907645569
hex1806172a25a20

422631000136224 has 432 divisors, whose sum is σ = 1378881614964672. Its totient is φ = 122466605184000.

The previous prime is 422631000136207. The next prime is 422631000136237.

422631000136224 is a `hidden beast` number, since 4 + 2 + 2 + 6 + 3 + 10 + 0 + 0 + 13 + 622 + 4 = 666.

422631000136224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4226310001362242 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2862096954 + ... + 2862244614.

It is an arithmetic number, because the mean of its divisors is an integer number (3191855590196).

Almost surely, 2422631000136224 is an apocalyptic number.

422631000136224 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 422631000136224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689440807482336).

422631000136224 is an abundant number, since it is smaller than the sum of its proper divisors (956250614828448).

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

422631000136224 is a wasteful number, since it uses less digits than its factorization.

422631000136224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151293 (or 151271 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 422631000 and 136224, that added together give a palindrome (422767224).

The spelling of 422631000136224 in words is "four hundred twenty-two trillion, six hundred thirty-one billion, one hundred thirty-six thousand, two hundred twenty-four".