Search a number
-
+
2223313312 = 251117715233
BaseRepresentation
bin1000010010000101…
…0001000110100000
312201221120000111111
42010201101012200
514023132011222
61004341153104
7106044565003
oct20441210640
95657500444
102223313312
11a41003220
125206bb794
13295804c0c
141713c953a
15d02c4777
hex848511a0

2223313312 has 96 divisors (see below), whose sum is σ = 5128147584. Its totient is φ = 937574400.

The previous prime is 2223313297. The next prime is 2223313381. The reversal of 2223313312 is 2133133222.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422248 + ... + 427480.

It is an arithmetic number, because the mean of its divisors is an integer number (53418204).

Almost surely, 22223313312 is an apocalyptic number.

2223313312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2223313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564073792).

2223313312 is an abundant number, since it is smaller than the sum of its proper divisors (2904834272).

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

2223313312 is a wasteful number, since it uses less digits than its factorization.

2223313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5342 (or 5334 counting only the distinct ones).

The product of its digits is 1296, while the sum is 22.

The square root of 2223313312 is about 47152.0234136352. The cubic root of 2223313312 is about 1305.1694190482.

Adding to 2223313312 its reverse (2133133222), we get a palindrome (4356446534).

The spelling of 2223313312 in words is "two billion, two hundred twenty-three million, three hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 71 88 136 142 176 187 272 284 352 374 544 568 748 781 1136 1207 1496 1562 2272 2414 2992 3124 4828 5233 5984 6248 9656 10466 12496 13277 19312 20932 24992 26554 38624 41864 53108 57563 83728 88961 106216 115126 167456 177922 212432 230252 355844 371543 424864 460504 711688 743086 921008 978571 1423376 1486172 1842016 1957142 2846752 2972344 3914284 4086973 5944688 6316231 7828568 8173946 11889376 12632462 15657136 16347892 25264924 31314272 32695784 50529848 65391568 69478541 101059696 130783136 138957082 202119392 277914164 555828328 1111656656 2223313312