Search a number
-
+
2246206040 = 2351322291451
BaseRepresentation
bin1000010111100010…
…0110001001011000
312210112122002102022
42011320212021120
514100012043130
61010515554012
7106443302441
oct20570461130
95715562368
102246206040
11a52a19931
125282bb908
1329a48bc00
141744682c8
15d22e77e5
hex85e26258

2246206040 has 96 divisors (see below), whose sum is σ = 5500321200. Its totient is φ = 825177600.

The previous prime is 2246206003. The next prime is 2246206043. The reversal of 2246206040 is 406026422.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246206043) 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 23 ways as a sum of consecutive naturals, for example, 1547315 + ... + 1548765.

Almost surely, 22246206040 is an apocalyptic number.

2246206040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2246206040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750160600).

2246206040 is an abundant number, since it is smaller than the sum of its proper divisors (3254115160).

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

2246206040 is a wasteful number, since it uses less digits than its factorization.

2246206040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 2246206040 is about 47394.1561798499. The cubic root of 2246206040 is about 1309.6337651120.

The spelling of 2246206040 in words is "two billion, two hundred forty-six million, two hundred six thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 229 260 338 458 520 676 845 916 1145 1352 1451 1690 1832 2290 2902 2977 3380 4580 5804 5954 6760 7255 9160 11608 11908 14510 14885 18863 23816 29020 29770 37726 38701 58040 59540 75452 77402 94315 119080 150904 154804 188630 193505 245219 309608 332279 377260 387010 490438 664558 754520 774020 980876 1226095 1329116 1548040 1661395 1961752 2452190 2658232 3322790 4319627 4904380 6645580 8639254 9808760 13291160 17278508 21598135 34557016 43196270 56155151 86392540 112310302 172785080 224620604 280775755 449241208 561551510 1123103020 2246206040