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422102304 = 253213112741
BaseRepresentation
bin11001001010001…
…100010100100000
31002102021000111200
4121022030110200
51331024233204
6105515041200
713313544651
oct3112142440
91072230450
10422102304
111a72a1788
12b9440200
13695ac8a0
14400b9528
15270cc539
hex1928c520

422102304 has 72 divisors (see below), whose sum is σ = 1292699772. Its totient is φ = 129876480.

The previous prime is 422102287. The next prime is 422102311. The reversal of 422102304 is 403201224.

422102304 is a `hidden beast` number, since 422 + 10 + 230 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 405941904 + 16160400 = 20148^2 + 4020^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52627 + ... + 60114.

Almost surely, 2422102304 is an apocalyptic number.

It is an amenable number.

422102304 is an abundant number, since it is smaller than the sum of its proper divisors (870597468).

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

422102304 is a wasteful number, since it uses less digits than its factorization.

422102304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112770 (or 112759 counting only the distinct ones).

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

The square root of 422102304 is about 20545.1284736796. The cubic root of 422102304 is about 750.1346744823.

Adding to 422102304 its reverse (403201224), we get a palindrome (825303528).

The spelling of 422102304 in words is "four hundred twenty-two million, one hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 112741 225482 338223 450964 676446 901928 1014669 1352892 1465633 1803856 2029338 2705784 2931266 3607712 4058676 4396899 5411568 5862532 8117352 8793798 10823136 11725064 13190697 16234704 17587596 23450128 26381394 32469408 35175192 46900256 52762788 70350384 105525576 140700768 211051152 422102304