Search a number
-
+
422020001340 = 223357425326251
BaseRepresentation
bin1100010010000100101…
…10100010111000111100
31111100022022002100011000
412021002112202320330
523403244110020330
6521512345130300
742330022552440
oct6110226427074
91440268070130
10422020001340
11152a8331a313
1269959789990
1330a47674232
14165d686c820
15ae9eb78560
hex62425a2e3c

422020001340 has 192 divisors, whose sum is σ = 1500925547520. Its totient is φ = 96435360000.

The previous prime is 422020001339. The next prime is 422020001341. The reversal of 422020001340 is 43100020224.

422020001340 is a `hidden beast` number, since 422 + 0 + 200 + 0 + 1 + 3 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (422020001339) and next prime (422020001341).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422020001341) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 16063215 + ... + 16089465.

It is an arithmetic number, because the mean of its divisors is an integer number (7817320560).

Almost surely, 2422020001340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422020001340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750462773760).

422020001340 is an abundant number, since it is smaller than the sum of its proper divisors (1078905546180).

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

422020001340 is a wasteful number, since it uses less digits than its factorization.

422020001340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30529 (or 30521 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 422020001340 its reverse (43100020224), we get a palindrome (465120021564).

The spelling of 422020001340 in words is "four hundred twenty-two billion, twenty million, one thousand, three hundred forty".