Search a number
-
+
2223312312 = 2331331457503
BaseRepresentation
bin1000010010000101…
…0000110110111000
312201221112222010110
42010201100312320
514023131443222
61004341144320
7106044562044
oct20441206670
95657488113
102223312312
11a410024a1
125206bb0a0
13295804620
141713c9024
15d02c430c
hex84850db8

2223312312 has 128 divisors (see below), whose sum is σ = 6204764160. Its totient is φ = 659266560.

The previous prime is 2223312269. The next prime is 2223312331. The reversal of 2223312312 is 2132133222.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4419853 + ... + 4420355.

It is an arithmetic number, because the mean of its divisors is an integer number (48474720).

Almost surely, 22223312312 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 2223312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102382080).

2223312312 is an abundant number, since it is smaller than the sum of its proper divisors (3981451848).

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

2223312312 is a wasteful number, since it uses less digits than its factorization.

2223312312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 1009 counting only the distinct ones).

The product of its digits is 864, while the sum is 21.

The square root of 2223312312 is about 47152.0128096352. The cubic root of 2223312312 is about 1305.1692233688.

Adding to 2223312312 its reverse (2132133222), we get a palindrome (4355445534).

The spelling of 2223312312 in words is "two billion, two hundred twenty-three million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 457 503 744 806 914 1006 1209 1371 1509 1612 1828 2012 2418 2742 3018 3224 3656 4024 4836 5484 5941 6036 6539 9672 10968 11882 12072 13078 14167 15593 17823 19617 23764 26156 28334 31186 35646 39234 42501 46779 47528 52312 56668 62372 71292 78468 85002 93558 113336 124744 142584 156936 170004 184171 187116 202709 229871 340008 368342 374232 405418 459742 552513 608127 689613 736684 810836 919484 1105026 1216254 1379226 1473368 1621672 1838968 2210052 2432508 2758452 2988323 4420104 4865016 5516904 5976646 7126001 8964969 11953292 14252002 17929938 21378003 23906584 28504004 35859876 42756006 57008008 71719752 85512012 92638013 171024024 185276026 277914039 370552052 555828078 741104104 1111656156 2223312312