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2125220405 = 572112174217
BaseRepresentation
bin111111010101100…
…0100101000110101
312111002222101022212
41332223010220311
513323024023110
6550514503205
7103444034600
oct17653045065
95432871285
102125220405
119a06a4600
124b3894b05
1327b3ab489
14162373337
15c6899e05
hex7eac4a35

2125220405 has 72 divisors (see below), whose sum is σ = 3453479064. Its totient is φ = 1246586880.

The previous prime is 2125220399. The next prime is 2125220417. The reversal of 2125220405 is 5040225212.

It can be written as a sum of positive squares in 4 ways, for example, as 865183396 + 1260037009 = 29414^2 + 35497^2 .

It is not a de Polignac number, because 2125220405 - 216 = 2125154869 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 501857 + ... + 506073.

It is an arithmetic number, because the mean of its divisors is an integer number (47964987).

Almost surely, 22125220405 is an apocalyptic number.

It is an amenable number.

2125220405 is a deficient number, since it is larger than the sum of its proper divisors (1328258659).

2125220405 is a wasteful number, since it uses less digits than its factorization.

2125220405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4275 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 2125220405 is about 46100.1128523564. The cubic root of 2125220405 is about 1285.6852426802.

Adding to 2125220405 its reverse (5040225212), we get a palindrome (7165445617).

The spelling of 2125220405 in words is "two billion, one hundred twenty-five million, two hundred twenty thousand, four hundred five".

Divisors: 1 5 7 11 17 35 49 55 77 85 119 121 187 245 385 539 595 605 833 847 935 1309 2057 2695 4165 4217 4235 5929 6545 9163 10285 14399 21085 29519 29645 45815 46387 71689 71995 100793 147595 206633 231935 324709 358445 501823 503965 510257 788579 1033165 1623545 2272963 2509115 2551285 3512761 3571799 3942895 5520053 8674369 11364815 17563805 17858995 25002593 27600265 38640371 43371845 60720583 125012965 193201855 303602915 425044081 2125220405