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422313302232 = 23351663130631
BaseRepresentation
bin1100010010100111101…
…01011001100011011000
31111101001201222120100000
412021103311121203120
523404344201132412
6522001423413000
742340213561203
oct6112365314330
91441051876300
10422313302232
11153113938648
1269a1ba54160
1330a93367a63
14166237ba93a
15aeba7b24dc
hex6253d598d8

422313302232 has 96 divisors (see below), whose sum is σ = 1186849198080. Its totient is φ = 140685374880.

The previous prime is 422313302207. The next prime is 422313302239. The reversal of 422313302232 is 232203313224.

422313302232 is a `hidden beast` number, since 4 + 22 + 313 + 302 + 23 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 422313302196 and 422313302205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422313302239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3167557 + ... + 3298187.

It is an arithmetic number, because the mean of its divisors is an integer number (12363012480).

Almost surely, 2422313302232 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 422313302232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593424599040).

422313302232 is an abundant number, since it is smaller than the sum of its proper divisors (764535895848).

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

422313302232 is a wasteful number, since it uses less digits than its factorization.

422313302232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132315 (or 132299 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 422313302232 its reverse (232203313224), we get a palindrome (654516615456).

The spelling of 422313302232 in words is "four hundred twenty-two billion, three hundred thirteen million, three hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1663 1944 3326 4989 6652 9978 13304 14967 19956 29934 39912 44901 59868 89802 119736 130631 134703 179604 261262 269406 359208 391893 404109 522524 538812 783786 808218 1045048 1077624 1175679 1567572 1616436 2351358 3135144 3232872 3527037 4702716 7054074 9405432 10581111 14108148 21162222 28216296 31743333 42324444 63486666 84648888 126973332 217239353 253946664 434478706 651718059 868957412 1303436118 1737914824 1955154177 2606872236 3910308354 5213744472 5865462531 7820616708 11730925062 15641233416 17596387593 23461850124 35192775186 46923700248 52789162779 70385550372 105578325558 140771100744 211156651116 422313302232