Search a number
-
+
2320210242 = 2327891131831
BaseRepresentation
bin1000101001001011…
…1001100101000010
312222200212220002200
42022102321211002
514222433211432
61022122054030
7111332314230
oct21222714502
95880786080
102320210242
11a90775329
1254904a316
132ac90018c
1418020d950
15d8a64a7c
hex8a4b9942

2320210242 has 96 divisors (see below), whose sum is σ = 5864451840. Its totient is φ = 649313280.

The previous prime is 2320210237. The next prime is 2320210247. The reversal of 2320210242 is 2420120232.

It is an interprime number because it is at equal distance from previous prime (2320210237) and next prime (2320210247).

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

It is not an unprimeable number, because it can be changed into a prime (2320210247) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1266267 + ... + 1268097.

It is an arithmetic number, because the mean of its divisors is an integer number (61088040).

Almost surely, 22320210242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320210242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932225920).

2320210242 is an abundant number, since it is smaller than the sum of its proper divisors (3544241598).

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

2320210242 is a wasteful number, since it uses less digits than its factorization.

2320210242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2045 counting only the distinct ones).

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

The square root of 2320210242 is about 48168.5607216990. The cubic root of 2320210242 is about 1323.8611773075.

Adding to 2320210242 its reverse (2420120232), we get a palindrome (4740330474).

The spelling of 2320210242 in words is "two billion, three hundred twenty million, two hundred ten thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 89 113 126 178 226 267 339 534 623 678 791 801 1017 1246 1582 1602 1831 1869 2034 2373 3662 3738 4746 5493 5607 7119 10057 10986 11214 12817 14238 16479 20114 25634 30171 32958 38451 60342 70399 76902 90513 115353 140798 162959 181026 206903 211197 230706 325918 413806 422394 488877 620709 633591 977754 1140713 1241418 1267182 1448321 1466631 1862127 2281426 2896642 2933262 3422139 3724254 4344963 6844278 8689926 10266417 13034889 18414367 20532834 26069778 36828734 55243101 110486202 128900569 165729303 257801138 331458606 386701707 773403414 1160105121 2320210242