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2241340650 = 2325244911093
BaseRepresentation
bin1000010110011000…
…0010010011101010
312210012110220100200
42011212002103222
514042240400100
61010223413030
7106354036563
oct20546022352
95705426320
102241340650
11a501a644a
12526754176
13299477493
1417395d16a
15d1b85e00
hex859824ea

2241340650 has 72 divisors (see below), whose sum is σ = 6035690700. Its totient is φ = 596305920.

The previous prime is 2241340637. The next prime is 2241340657. The reversal of 2241340650 is 560431422.

2241340650 is a `hidden beast` number, since 2 + 2 + 4 + 1 + 3 + 4 + 0 + 650 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1335390849 + 905949801 = 36543^2 + 30099^2 .

It is not an unprimeable number, because it can be changed into a prime (2241340657) 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 35 ways as a sum of consecutive naturals, for example, 196504 + ... + 207596.

Almost surely, 22241340650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241340650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017845350).

2241340650 is an abundant number, since it is smaller than the sum of its proper divisors (3794350050).

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

2241340650 is a wasteful number, since it uses less digits than its factorization.

2241340650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11560 (or 11552 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2241340650 is about 47342.7993468912. The cubic root of 2241340650 is about 1308.6875050549.

The spelling of 2241340650 in words is "two billion, two hundred forty-one million, three hundred forty thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 449 450 898 1347 2245 2694 4041 4490 6735 8082 11093 11225 13470 20205 22186 22450 33279 33675 40410 55465 66558 67350 99837 101025 110930 166395 199674 202050 277325 332790 499185 554650 831975 998370 1663950 2495925 4980757 4991850 9961514 14942271 24903785 29884542 44826813 49807570 74711355 89653626 124518925 149422710 224134065 249037850 373556775 448268130 747113550 1120670325 2241340650