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2213012016 = 24342716301
BaseRepresentation
bin1000001111100111…
…1110001000110000
312201020011122210000
42003321332020300
514013012341031
61003332310000
7105561202035
oct20371761060
95636148700
102213012016
11a36207756
12519172300
13293639187
1416dca738c
15ce43c3e6
hex83e7e230

2213012016 has 100 divisors (see below), whose sum is σ = 6429754144. Its totient is φ = 734832000.

The previous prime is 2213011963. The next prime is 2213012017. The reversal of 2213012016 is 6102103122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2213012016.

It is not an unprimeable number, because it can be changed into a prime (2213012017) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 348066 + ... + 354366.

Almost surely, 22213012016 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 2213012016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214877072).

2213012016 is an abundant number, since it is smaller than the sum of its proper divisors (4216742128).

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

2213012016 is a wasteful number, since it uses less digits than its factorization.

2213012016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6592 (or 6577 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2213012016 is about 47042.6616593917. The cubic root of 2213012016 is about 1303.1505470485.

Adding to 2213012016 its reverse (6102103122), we get a palindrome (8315115138).

The spelling of 2213012016 in words is "two billion, two hundred thirteen million, twelve thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 271 324 432 542 648 813 1084 1296 1626 2168 2439 3252 4336 4878 6301 6504 7317 9756 12602 13008 14634 18903 19512 21951 25204 29268 37806 39024 43902 50408 56709 58536 75612 87804 100816 113418 117072 151224 170127 175608 226836 302448 340254 351216 453672 510381 680508 907344 1020762 1361016 1707571 2041524 2722032 3415142 4083048 5122713 6830284 8166096 10245426 13660568 15368139 20490852 27321136 30736278 40981704 46104417 61472556 81963408 92208834 122945112 138313251 184417668 245890224 276626502 368835336 553253004 737670672 1106506008 2213012016