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2155622016 = 27340113999
BaseRepresentation
bin1000000001111100…
…0010111010000000
312120020011221111110
42000133002322000
513403314401031
6553522243320
7104263325202
oct20037027200
95506157443
102155622016
11a068797a9
12501ab6540
132847941b2
14166408772
15c93a2c46
hex807c2e80

2155622016 has 64 divisors (see below), whose sum is σ = 5740560000. Its totient is φ = 716697600.

The previous prime is 2155622011. The next prime is 2155622059. The reversal of 2155622016 is 6102265512.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2155622011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146985 + ... + 160983.

It is an arithmetic number, because the mean of its divisors is an integer number (89696250).

Almost surely, 22155622016 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 2155622016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870280000).

2155622016 is an abundant number, since it is smaller than the sum of its proper divisors (3584937984).

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

2155622016 is a wasteful number, since it uses less digits than its factorization.

2155622016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14417 (or 14405 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 2155622016 is about 46428.6766557049. The cubic root of 2155622016 is about 1291.7868825154.

Adding to 2155622016 its reverse (6102265512), we get a palindrome (8257887528).

The spelling of 2155622016 in words is "two billion, one hundred fifty-five million, six hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 401 802 1203 1604 2406 3208 4812 6416 9624 12832 13999 19248 25664 27998 38496 41997 51328 55996 76992 83994 111992 153984 167988 223984 335976 447968 671952 895936 1343904 1791872 2687808 5375616 5613599 11227198 16840797 22454396 33681594 44908792 67363188 89817584 134726376 179635168 269452752 359270336 538905504 718540672 1077811008 2155622016