Search a number
-
+
424000220004 = 223317230936939
BaseRepresentation
bin1100010101110000110…
…00011110101101100100
31111112102022012212111000
412022320120132231210
523421323024020004
6522441044113300
742430056255624
oct6127030365544
91445368185430
10424000220004
111538aa085969
126a210995830
1330ca19b385a
1416743858884
15b06892ec39
hex62b861eb64

424000220004 has 48 divisors (see below), whose sum is σ = 1163922177600. Its totient is φ = 133019676288.

The previous prime is 424000219999. The next prime is 424000220009. The reversal of 424000220004 is 400022000424.

424000220004 is a `hidden beast` number, since 42 + 400 + 0 + 220 + 0 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (424000219999) and next prime (424000220009).

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

It is not an unprimeable number, because it can be changed into a prime (424000220009) 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 15 ways as a sum of consecutive naturals, for example, 115466634 + ... + 115470305.

It is an arithmetic number, because the mean of its divisors is an integer number (24248378700).

Almost surely, 2424000220004 is an apocalyptic number.

It is an amenable number.

424000220004 is an abundant number, since it is smaller than the sum of its proper divisors (739921957596).

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

424000220004 is a wasteful number, since it uses less digits than its factorization.

424000220004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230936969 (or 230936961 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

Adding to 424000220004 its reverse (400022000424), we get a palindrome (824022220428).

The spelling of 424000220004 in words is "four hundred twenty-four billion, two hundred twenty thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 230936939 461873878 692810817 923747756 1385621634 2078432451 2771243268 3925927963 4156864902 6235297353 7851855926 8313729804 11777783889 12470594706 15703711852 23555567778 24941189412 35333351667 47111135556 70666703334 106000055001 141333406668 212000110002 424000220004