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2220604416 = 2103380317
BaseRepresentation
bin1000010001011011…
…1011110000000000
312201202110101121000
42010112323300000
514021433320131
61004203132000
7106012553232
oct20426736000
95652411530
102220604416
11a3a522a68
1251b814000
13295096c14
14170cc2252
15cee3bce6
hex845bbc00

2220604416 has 88 divisors (see below), whose sum is σ = 6576437840. Its totient is φ = 740192256.

The previous prime is 2220604381. The next prime is 2220604429. The reversal of 2220604416 is 6144060222.

2220604416 is a `hidden beast` number, since 22 + 20 + 604 + 4 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2220604416.

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, 12511 + ... + 67806.

Almost surely, 22220604416 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 2220604416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288218920).

2220604416 is an abundant number, since it is smaller than the sum of its proper divisors (4355833424).

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

2220604416 is an equidigital number, since it uses as much as digits as its factorization.

2220604416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80346 (or 80322 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2220604416 is about 47123.2895286397. The cubic root of 2220604416 is about 1304.6391286493.

Adding to 2220604416 its reverse (6144060222), we get a palindrome (8364664638).

The spelling of 2220604416 in words is "two billion, two hundred twenty million, six hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 6912 9216 13824 27648 80317 160634 240951 321268 481902 642536 722853 963804 1285072 1445706 1927608 2168559 2570144 2891412 3855216 4337118 5140288 5782824 7710432 8674236 10280576 11565648 15420864 17348472 20561152 23131296 30841728 34696944 41122304 46262592 61683456 69393888 82244608 92525184 123366912 138787776 185050368 246733824 277575552 370100736 555151104 740201472 1110302208 2220604416