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2214311320 = 235135997109
BaseRepresentation
bin1000001111111011…
…1011010110011000
312201022121200002101
42003332323112120
514013330430240
61003420213144
7105605223064
oct20376732630
95638550071
102214311320
11a36a14961
1251969a1b4
132939a26b0
14170124aa4
15ce5e739a
hex83fbb598

2214311320 has 64 divisors (see below), whose sum is σ = 5375160000. Its totient is φ = 816112128.

The previous prime is 2214311311. The next prime is 2214311321. The reversal of 2214311320 is 231134122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214311321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307926 + ... + 315034.

It is an arithmetic number, because the mean of its divisors is an integer number (83986875).

Almost surely, 22214311320 is an apocalyptic number.

2214311320 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 2214311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687580000).

2214311320 is an abundant number, since it is smaller than the sum of its proper divisors (3160848680).

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

2214311320 is a wasteful number, since it uses less digits than its factorization.

2214311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7732 (or 7728 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2214311320 is about 47056.4694808270. The cubic root of 2214311320 is about 1303.4055324779.

Adding to 2214311320 its reverse (231134122), we get a palindrome (2445445442).

The spelling of 2214311320 in words is "two billion, two hundred fourteen million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 599 1198 2396 2995 4792 5990 7109 7787 11980 14218 15574 23960 28436 31148 35545 38935 56872 62296 71090 77870 92417 142180 155740 184834 284360 311480 369668 462085 739336 924170 1848340 3696680 4258291 8516582 17033164 21291455 34066328 42582910 55357783 85165820 110715566 170331640 221431132 276788915 442862264 553577830 1107155660 2214311320