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2240201061 = 3272171915727
BaseRepresentation
bin1000010110000110…
…1100000101100101
312210010100000010200
42011201230011211
514041442413221
61010143141113
7106341252300
oct20541540545
95703300120
102240201061
11a4a59823a
125262a4799
13299168877
14173743b37
15d1a0d426
hex8586c165

2240201061 has 72 divisors (see below), whose sum is σ = 4195601280. Its totient is φ = 1141330176.

The previous prime is 2240201053. The next prime is 2240201083. The reversal of 2240201061 is 1601020422.

It is not a de Polignac number, because 2240201061 - 23 = 2240201053 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240201011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 134580 + ... + 150306.

It is an arithmetic number, because the mean of its divisors is an integer number (58272240).

Almost surely, 22240201061 is an apocalyptic number.

2240201061 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2240201061 is a deficient number, since it is larger than the sum of its proper divisors (1955400219).

2240201061 is a wasteful number, since it uses less digits than its factorization.

2240201061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15783 (or 15773 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2240201061 is about 47330.7623116298. The cubic root of 2240201061 is about 1308.4656707532.

Adding to 2240201061 its reverse (1601020422), we get a palindrome (3841221483).

The spelling of 2240201061 in words is "two billion, two hundred forty million, two hundred one thousand, sixty-one".

Divisors: 1 3 7 9 17 19 21 49 51 57 63 119 133 147 153 171 323 357 399 441 833 931 969 1071 1197 2261 2499 2793 2907 6783 7497 8379 15727 15827 20349 47181 47481 110089 141543 142443 267359 298813 330267 770623 802077 896439 990801 1871513 2091691 2311869 2406231 2689317 5079821 5614539 6275073 6935607 13100591 14641837 15239463 16843617 18825219 35558747 39301773 43925511 45718389 106676241 117905319 131776533 248911229 320028723 746733687 2240201061