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2196616656 = 2431323413733
BaseRepresentation
bin1000001011101101…
…1011010111010000
312200002022200120110
42002323123113100
513444313213111
61001545041320
7105301635123
oct20273332720
95602280513
102196616656
11a27a29673
12513786240
13290118690
1416ba3a3ba
15ccc9e5a6
hex82edb5d0

2196616656 has 160 divisors (see below), whose sum is σ = 6534081792. Its totient is φ = 630558720.

The previous prime is 2196616637. The next prime is 2196616661. The reversal of 2196616656 is 6566166912.

2196616656 is digitally balanced in base 2 and base 4, because in such bases 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586566 + ... + 590298.

Almost surely, 22196616656 is an apocalyptic number.

2196616656 is a gapful number since it is divisible by the number (26) 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 2196616656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267040896).

2196616656 is an abundant number, since it is smaller than the sum of its proper divisors (4337465136).

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

2196616656 is a wasteful number, since it uses less digits than its factorization.

2196616656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3821 (or 3815 counting only the distinct ones).

The product of its digits is 699840, while the sum is 48.

The square root of 2196616656 is about 46868.0771527913. The cubic root of 2196616656 is about 1299.9243853455.

The spelling of 2196616656 in words is "two billion, one hundred ninety-six million, six hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 41 46 48 52 69 78 82 92 104 123 138 156 164 184 208 246 276 299 312 328 368 492 533 552 598 624 656 897 943 984 1066 1104 1196 1599 1794 1886 1968 2132 2392 2829 3198 3588 3733 3772 4264 4784 5658 6396 7176 7466 7544 8528 11199 11316 12259 12792 14352 14932 15088 22398 22632 24518 25584 29864 36777 44796 45264 48529 49036 59728 73554 85859 89592 97058 98072 145587 147108 153053 171718 179184 194116 196144 257577 291174 294216 306106 343436 388232 459159 515154 582348 588432 612212 686872 776464 918318 1030308 1116167 1164696 1224424 1373744 1836636 1989689 2060616 2232334 2329392 2448848 3348501 3520219 3673272 3979378 4121232 4464668 5969067 6697002 7040438 7346544 7958756 8929336 10560657 11938134 13394004 14080876 15917512 17858672 21121314 23876268 26788008 28161752 31835024 42242628 45762847 47752536 53576016 56323504 84485256 91525694 95505072 137288541 168970512 183051388 274577082 366102776 549154164 732205552 1098308328 2196616656