Search a number
-
+
2056200192 = 213321672
BaseRepresentation
bin111101010001111…
…0010000000000000
312022022002210101200
41322203302000000
513202341401232
6540011301200
7101645261514
oct17243620000
95268083350
102056200192
11965742702
1249474a800
13269cc3907
14157128144
15c07b477c
hex7a8f2000

2056200192 has 126 divisors (see below), whose sum is σ = 5975551803. Its totient is φ = 681295872.

The previous prime is 2056200151. The next prime is 2056200193. The reversal of 2056200192 is 2910026502.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2056200192 is a `hidden beast` number, since 20 + 5 + 620 + 0 + 19 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1028100096 + 1028100096 = 32064^2 + 32064^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=32064.

It is not an unprimeable number, because it can be changed into a prime (2056200193) 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 8 ways as a sum of consecutive naturals, for example, 12312493 + ... + 12312659.

Almost surely, 22056200192 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 2056200192

2056200192 is an abundant number, since it is smaller than the sum of its proper divisors (3919351611).

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

2056200192 is an frugal number, since it uses more digits than its factorization.

2056200192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2056200192 is about 45345.3436639309. The cubic root of 2056200192 is about 1271.6135054552.

Adding to 2056200192 its reverse (2910026502), we get a palindrome (4966226694).

The spelling of 2056200192 in words is "two billion, fifty-six million, two hundred thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 167 192 256 288 334 384 501 512 576 668 768 1002 1024 1152 1336 1503 1536 2004 2048 2304 2672 3006 3072 4008 4096 4608 5344 6012 6144 8016 8192 9216 10688 12024 12288 16032 18432 21376 24048 24576 27889 32064 36864 42752 48096 55778 64128 73728 83667 85504 96192 111556 128256 167334 171008 192384 223112 251001 256512 334668 342016 384768 446224 502002 513024 669336 684032 769536 892448 1004004 1026048 1338672 1368064 1539072 1784896 2008008 2052096 2677344 3078144 3569792 4016016 4104192 5354688 6156288 7139584 8032032 10709376 12312576 14279168 16064064 21418752 28558336 32128128 42837504 57116672 64256256 85675008 114233344 128512512 171350016 228466688 257025024 342700032 514050048 685400064 1028100096 2056200192