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2243352306 = 231351953
BaseRepresentation
bin1000010110110110…
…1101011011110010
312210100021002211110
42011231231123302
514043244233211
61010334454150
7106410115506
oct20555553362
95710232743
102243352306
11a5134a878
12527364356
13299a00000
14173d24306
15d1e31ea6
hex85b6d6f2

2243352306 has 96 divisors (see below), whose sum is σ = 5212952640. Its totient is φ = 641594304.

The previous prime is 2243352299. The next prime is 2243352313. The reversal of 2243352306 is 6032533422.

It is an interprime number because it is at equal distance from previous prime (2243352299) and next prime (2243352313).

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, 42327376 + ... + 42327428.

It is an arithmetic number, because the mean of its divisors is an integer number (54301590).

Almost surely, 22243352306 is an apocalyptic number.

2243352306 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2243352306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606476320).

2243352306 is an abundant number, since it is smaller than the sum of its proper divisors (2969600334).

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

2243352306 is an frugal number, since it uses more digits than its factorization.

2243352306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 2243352306 is about 47364.0402204035. The cubic root of 2243352306 is about 1309.0789139272.

Adding to 2243352306 its reverse (6032533422), we get a palindrome (8275885728).

The spelling of 2243352306 in words is "two billion, two hundred forty-three million, three hundred fifty-two thousand, three hundred six".

Divisors: 1 2 3 6 13 19 26 38 39 53 57 78 106 114 159 169 247 318 338 494 507 689 741 1007 1014 1378 1482 2014 2067 2197 3021 3211 4134 4394 6042 6422 6591 8957 9633 13091 13182 17914 19266 26182 26871 28561 39273 41743 53742 57122 78546 83486 85683 116441 125229 170183 171366 232882 250458 340366 349323 371293 510549 542659 698646 742586 1021098 1085318 1113879 1513733 1627977 2212379 2227758 3027466 3255954 4424758 4541199 6637137 7054567 9082398 13274274 14109134 19678529 21163701 28760927 39357058 42327402 57521854 59035587 86282781 118071174 172565562 373892051 747784102 1121676153 2243352306