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2056224366 = 234710611709
BaseRepresentation
bin111101010001111…
…0111111001101110
312022022011000120000
41322203313321232
513202343134431
6540012005130
7101645422140
oct17243677156
95268130500
102056224366
11965759889
124947607a6
1326a001911
14157132c90
15c07bb9e6
hex7a8f7e6e

2056224366 has 80 divisors (see below), whose sum is σ = 5273722080. Its totient is φ = 586595520.

The previous prime is 2056224277. The next prime is 2056224367. The reversal of 2056224366 is 6634226502.

2056224366 is a `hidden beast` number, since 20 + 5 + 622 + 4 + 3 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2056224366.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056224367) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1202320 + ... + 1204028.

It is an arithmetic number, because the mean of its divisors is an integer number (65921526).

Almost surely, 22056224366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2056224366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636861040).

2056224366 is an abundant number, since it is smaller than the sum of its proper divisors (3217497714).

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

2056224366 is a wasteful number, since it uses less digits than its factorization.

2056224366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 2056224366 is about 45345.6102175282. The cubic root of 2056224366 is about 1271.6184887353.

The spelling of 2056224366 in words is "two billion, fifty-six million, two hundred twenty-four thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1061 1134 1709 2122 3183 3418 5127 6366 7427 9549 10254 11963 14854 15381 19098 22281 23926 28647 30762 35889 44562 46143 57294 66843 71778 85941 92286 107667 133686 138429 171882 200529 215334 276858 323001 401058 601587 646002 969003 1203174 1813249 1938006 3626498 5439747 10879494 12692743 16319241 25385486 32638482 38078229 48957723 76156458 97915446 114234687 146873169 228469374 293746338 342704061 685408122 1028112183 2056224366