Search a number
-
+
10022462704 = 2423431016271
BaseRepresentation
bin10010101010110001…
…01010010011110000
3221212111000212011101
421111120222103300
5131011222301304
64334304054144
7503236345612
oct112530522360
927774025141
1010022462704
114283467631
121b38604354
13c39553807
146b112cdb2
153d9d488a4
hex25562a4f0

10022462704 has 80 divisors (see below), whose sum is σ = 20942659584. Its totient is φ = 4634784000.

The previous prime is 10022462701. The next prime is 10022462707. The reversal of 10022462704 is 40726422001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10022462701) and next prime (10022462707).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022462701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1595089 + ... + 1601359.

Almost surely, 210022462704 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 10022462704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10471329792).

10022462704 is an abundant number, since it is smaller than the sum of its proper divisors (10920196880).

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

10022462704 is a wasteful number, since it uses less digits than its factorization.

10022462704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6446 (or 6440 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

Adding to 10022462704 its reverse (40726422001), we get a palindrome (50748884705).

The spelling of 10022462704 in words is "ten billion, twenty-two million, four hundred sixty-two thousand, seven hundred four".

Divisors: 1 2 4 8 16 23 43 46 86 92 101 172 184 202 344 368 404 688 808 989 1616 1978 2323 3956 4343 4646 6271 7912 8686 9292 12542 15824 17372 18584 25084 34744 37168 50168 69488 99889 100336 144233 199778 269653 288466 399556 539306 576932 633371 799112 1078612 1153864 1266742 1598224 2157224 2307728 2533484 4314448 5066968 6202019 10133936 12404038 14567533 24808076 27234953 29135066 49616152 54469906 58270132 99232304 108939812 116540264 217879624 233080528 435759248 626403919 1252807838 2505615676 5011231352 10022462704