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2213012320 = 25597142591
BaseRepresentation
bin1000001111100111…
…1110001101100000
312201020011200012021
42003321332031200
514013012343240
61003332311224
7105561202651
oct20371761540
95636150167
102213012320
11a36207a02
12519172514
1329363935c
1416dca7528
15ce43c54a
hex83e7e360

2213012320 has 48 divisors (see below), whose sum is σ = 5282178048. Its totient is φ = 876072960.

The previous prime is 2213012303. The next prime is 2213012353. The reversal of 2213012320 is 232103122.

2213012320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2213012294 and 2213012303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55776 + ... + 86815.

It is an arithmetic number, because the mean of its divisors is an integer number (110045376).

Almost surely, 22213012320 is an apocalyptic number.

2213012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2213012320 is an abundant number, since it is smaller than the sum of its proper divisors (3069165728).

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

2213012320 is a wasteful number, since it uses less digits than its factorization.

2213012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142703 (or 142695 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2213012320 is about 47042.6648905013. The cubic root of 2213012320 is about 1303.1506067194.

Adding to 2213012320 its reverse (232103122), we get a palindrome (2445115442).

The spelling of 2213012320 in words is "two billion, two hundred thirteen million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 388 485 776 970 1552 1940 3104 3880 7760 15520 142591 285182 570364 712955 1140728 1425910 2281456 2851820 4562912 5703640 11407280 13831327 22814560 27662654 55325308 69156635 110650616 138313270 221301232 276626540 442602464 553253080 1106506160 2213012320