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2241013140 = 2232519655267
BaseRepresentation
bin1000010110010011…
…0010010110010100
312210011212021002200
42011210302112110
514042144410030
61010212404500
7106351204002
oct20544622624
95704767080
102241013140
11a4aaa2383
12526616730
132993913a2
141738b5a72
15d1b1dd60
hex85932594

2241013140 has 72 divisors (see below), whose sum is σ = 7155526560. Its totient is φ = 566149824.

The previous prime is 2241013139. The next prime is 2241013141. The reversal of 2241013140 is 413101422.

It is an interprime number because it is at equal distance from previous prime (2241013139) and next prime (2241013141).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241013141) 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, 324214 + ... + 331053.

Almost surely, 22241013140 is an apocalyptic number.

2241013140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2241013140 is an abundant number, since it is smaller than the sum of its proper divisors (4914513420).

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

2241013140 is a wasteful number, since it uses less digits than its factorization.

2241013140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655301 (or 655296 counting only the distinct ones).

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

The square root of 2241013140 is about 47339.3402995859. The cubic root of 2241013140 is about 1308.6237591114.

Adding to 2241013140 its reverse (413101422), we get a palindrome (2654114562).

The spelling of 2241013140 in words is "two billion, two hundred forty-one million, thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 655267 1310534 1965801 2621068 3276335 3931602 5897403 6552670 7863204 9829005 11794806 12450073 13105340 19658010 23589612 24900146 29487015 37350219 39316020 49800292 58974030 62250365 74700438 112050657 117948060 124500730 149400876 186751095 224101314 249001460 373502190 448202628 560253285 747004380 1120506570 2241013140