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424004220 = 223452271153
BaseRepresentation
bin11001010001011…
…100101001111100
31002112211122110000
4121101130221330
51332021113340
6110023514300
713335655623
oct3121345174
91075748400
10424004220
111a8380712
12b9bb8990
1369ac7493
14404526ba
1527355d30
hex1945ca7c

424004220 has 120 divisors (see below), whose sum is σ = 1337135184. Its totient is φ = 112472064.

The previous prime is 424004219. The next prime is 424004227. The reversal of 424004220 is 22400424.

424004220 is a `hidden beast` number, since 4 + 240 + 0 + 422 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 424004193 and 424004202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424004227) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 367164 + ... + 368316.

Almost surely, 2424004220 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 424004220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668567592).

424004220 is an abundant number, since it is smaller than the sum of its proper divisors (913130964).

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

424004220 is a wasteful number, since it uses less digits than its factorization.

424004220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1390 counting only the distinct ones).

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

The square root of 424004220 is about 20591.3627523775. The cubic root of 424004220 is about 751.2596432142.

Adding to 424004220 its reverse (22400424), we get a palindrome (446404644).

The spelling of 424004220 in words is "four hundred twenty-four million, four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 227 270 324 405 454 540 681 810 908 1135 1153 1362 1620 2043 2270 2306 2724 3405 3459 4086 4540 4612 5765 6129 6810 6918 8172 10215 10377 11530 12258 13620 13836 17295 18387 20430 20754 23060 24516 30645 31131 34590 36774 40860 41508 51885 61290 62262 69180 73548 91935 93393 103770 122580 124524 155655 183870 186786 207540 261731 311310 367740 373572 466965 523462 622620 785193 933930 1046924 1308655 1570386 1867860 2355579 2617310 3140772 3925965 4711158 5234620 7066737 7851930 9422316 11777895 14133474 15703860 21200211 23555790 28266948 35333685 42400422 47111580 70667370 84800844 106001055 141334740 212002110 424004220