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2066221696 = 27711297229
BaseRepresentation
bin111101100101000…
…0000101010000000
312022222221221022111
41323022000222000
513212423043241
6541010145104
7102126410650
oct17312005200
95288857274
102066221696
11970367a40
12497b82194
1326c0c21b6
141585b6360
15c15e3c81
hex7b280a80

2066221696 has 128 divisors (see below), whose sum is σ = 5309712000. Its totient is φ = 777154560.

The previous prime is 2066221693. The next prime is 2066221697. The reversal of 2066221696 is 6961226602.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×20662216962 = 8538544194042232832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2066221693) 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 15 ways as a sum of consecutive naturals, for example, 282210 + ... + 289438.

It is an arithmetic number, because the mean of its divisors is an integer number (41482125).

Almost surely, 22066221696 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 2066221696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654856000).

2066221696 is an abundant number, since it is smaller than the sum of its proper divisors (3243490304).

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

2066221696 is a wasteful number, since it uses less digits than its factorization.

2066221696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7290 (or 7278 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 2066221696 is about 45455.7113683198. The cubic root of 2066221696 is about 1273.6760206889.

The spelling of 2066221696 in words is "two billion, sixty-six million, two hundred twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 64 77 88 112 116 128 154 176 203 224 232 308 319 352 406 448 464 616 638 704 812 896 928 1232 1276 1408 1624 1856 2233 2464 2552 3248 3712 4466 4928 5104 6496 7229 8932 9856 10208 12992 14458 17864 20416 25984 28916 35728 40832 50603 57832 71456 79519 101206 115664 142912 159038 202412 209641 231328 285824 318076 404824 419282 462656 556633 636152 809648 838564 925312 1113266 1272304 1467487 1619296 1677128 2226532 2306051 2544608 2934974 3238592 3354256 4453064 4612102 5089216 5869948 6477184 6708512 8906128 9224204 10178432 11739896 13417024 16142357 17812256 18448408 23479792 26834048 32284714 35624512 36896816 46959584 64569428 71249024 73793632 93919168 129138856 147587264 187838336 258277712 295174528 516555424 1033110848 2066221696