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2212131320 = 235718143649
BaseRepresentation
bin1000001111011010…
…0111000111111000
312201011111220200122
42003312213013320
514012301200240
61003301352412
7105550543310
oct20366470770
95634456618
102212131320
11a35766003
12518a08708
132933bb359
1416db18440
15ce3164b5
hex83da71f8

2212131320 has 64 divisors (see below), whose sum is σ = 5719896000. Its totient is φ = 754237440.

The previous prime is 2212131319. The next prime is 2212131323. The reversal of 2212131320 is 231312122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212131323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28856 + ... + 72504.

It is an arithmetic number, because the mean of its divisors is an integer number (89373375).

Almost surely, 22212131320 is an apocalyptic number.

2212131320 is a gapful number since it is divisible by the number (20) 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 2212131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859948000).

2212131320 is an abundant number, since it is smaller than the sum of its proper divisors (3507764680).

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

2212131320 is a wasteful number, since it uses less digits than its factorization.

2212131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43848 (or 43844 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2212131320 is about 47033.3001181078. The cubic root of 2212131320 is about 1302.9776557215.

Adding to 2212131320 its reverse (231312122), we get a palindrome (2443443442).

The spelling of 2212131320 in words is "two billion, two hundred twelve million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 181 280 362 724 905 1267 1448 1810 2534 3620 5068 6335 7240 10136 12670 25340 43649 50680 87298 174596 218245 305543 349192 436490 611086 872980 1222172 1527715 1745960 2444344 3055430 6110860 7900469 12221720 15800938 31601876 39502345 55303283 63203752 79004690 110606566 158009380 221213132 276516415 316018760 442426264 553032830 1106065660 2212131320