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422301012 = 223721783509
BaseRepresentation
bin11001001010111…
…100110101010100
31002102122010002020
4121022330311110
51331102113022
6105523213140
713315333200
oct3112746524
91072563066
10422301012
111a7418001
12b95171b0
136964c173
144012bb00
152711b35c
hex192bcd54

422301012 has 144 divisors (see below), whose sum is σ = 1230707520. Its totient is φ = 111971328.

The previous prime is 422300959. The next prime is 422301023. The reversal of 422301012 is 210103224.

It is a junction number, because it is equal to n+sod(n) for n = 422300982 and 422301000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 829414 + ... + 829922.

It is an arithmetic number, because the mean of its divisors is an integer number (8546580).

Almost surely, 2422301012 is an apocalyptic number.

422301012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422301012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615353760).

422301012 is an abundant number, since it is smaller than the sum of its proper divisors (808406508).

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

422301012 is a wasteful number, since it uses less digits than its factorization.

422301012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 422301012 is about 20549.9637955885. The cubic root of 422301012 is about 750.2523666275.

Adding to 422301012 its reverse (210103224), we get a palindrome (632404236).

The spelling of 422301012 in words is "four hundred twenty-two million, three hundred one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 83 84 98 102 119 147 166 196 204 238 249 294 332 357 476 498 509 581 588 714 833 996 1018 1162 1411 1428 1527 1666 1743 2036 2324 2499 2822 3054 3332 3486 3563 4067 4233 4998 5644 6108 6972 7126 8134 8466 8653 9877 9996 10689 12201 14252 16268 16932 17306 19754 21378 24402 24941 25959 29631 34612 39508 42247 42756 48804 49882 51918 59262 60571 69139 74823 84494 99764 103836 118524 121142 126741 138278 149646 168988 181713 207417 242284 253482 276556 295729 299292 363426 414834 423997 506964 591458 718199 726852 829668 847994 887187 1182916 1271991 1436398 1695988 1774374 2070103 2154597 2543982 2872796 3548748 4140206 4309194 5027393 5087964 6210309 8280412 8618388 10054786 12420618 15082179 20109572 24841236 30164358 35191751 60328716 70383502 105575253 140767004 211150506 422301012