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422423120 = 24572107761
BaseRepresentation
bin11001001011011…
…010101001010000
31002102212022120202
4121023122221100
51331120014440
6105525554332
713316352200
oct3113325120
91072768522
10422423120
111a74a0819
12b95759a8
1369692912
1440160400
1527142615
hex192daa50

422423120 has 60 divisors (see below), whose sum is σ = 1142492724. Its totient is φ = 144829440.

The previous prime is 422423087. The next prime is 422423149. The reversal of 422423120 is 21324224.

It can be written as a sum of positive squares in 2 ways, for example, as 155950144 + 266472976 = 12488^2 + 16324^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 422423092 and 422423101.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 49961 + ... + 57800.

Almost surely, 2422423120 is an apocalyptic number.

422423120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422423120 is an abundant number, since it is smaller than the sum of its proper divisors (720069604).

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

422423120 is a wasteful number, since it uses less digits than its factorization.

422423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107788 (or 107775 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 422423120 is about 20552.9345836550. The cubic root of 422423120 is about 750.3246712830.

Adding to 422423120 its reverse (21324224), we get a palindrome (443747344).

The spelling of 422423120 in words is "four hundred twenty-two million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 107761 215522 431044 538805 754327 862088 1077610 1508654 1724176 2155220 3017308 3771635 4310440 5280289 6034616 7543270 8620880 10560578 12069232 15086540 21121156 26401445 30173080 42242312 52802890 60346160 84484624 105605780 211211560 422423120