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422304032 = 25192943557
BaseRepresentation
bin11001001010111…
…101100100100000
31002102122021020002
4121022331210200
51331102212112
6105523235132
713315345043
oct3112754440
91072567202
10422304032
111a741a2a7
12b9518aa8
1369650657
144012cc5a
152711c1c2
hex192bd920

422304032 has 96 divisors (see below), whose sum is σ = 928065600. Its totient is φ = 188310528.

The previous prime is 422303993. The next prime is 422304049. The reversal of 422304032 is 230403224.

It is a junction number, because it is equal to n+sod(n) for n = 422303995 and 422304013.

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 15 ways as a sum of consecutive naturals, for example, 757898 + ... + 758454.

It is an arithmetic number, because the mean of its divisors is an integer number (9667350).

Almost surely, 2422304032 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 422304032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464032800).

422304032 is an abundant number, since it is smaller than the sum of its proper divisors (505761568).

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

422304032 is a wasteful number, since it uses less digits than its factorization.

422304032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 422304032 is about 20550.0372749054. The cubic root of 422304032 is about 750.2541550491.

Adding to 422304032 its reverse (230403224), we get a palindrome (652707256).

The spelling of 422304032 in words is "four hundred twenty-two million, three hundred four thousand, thirty-two".

Divisors: 1 2 4 8 16 19 29 32 38 43 58 76 86 116 152 172 232 304 344 464 551 557 608 688 817 928 1102 1114 1247 1376 1634 2204 2228 2494 3268 4408 4456 4988 6536 8816 8912 9976 10583 13072 16153 17632 17824 19952 21166 23693 23951 26144 32306 39904 42332 47386 47902 64612 84664 94772 95804 129224 169328 189544 191608 258448 306907 338656 379088 383216 455069 516896 613814 694579 758176 766432 910138 1227628 1389158 1820276 2455256 2778316 3640552 4910512 5556632 7281104 9821024 11113264 13197001 14562208 22226528 26394002 52788004 105576008 211152016 422304032