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2242202540 = 2251933717509
BaseRepresentation
bin1000010110100101…
…0100101110101100
312210021002200122112
42011221110232230
514043000440130
61010254103152
7106364256434
oct20551245654
95707080575
102242202540
11a50734a56
12526aaaab8
132996b9886
14173b052c4
15d1ca6495
hex85a54bac

2242202540 has 48 divisors (see below), whose sum is σ = 4971439200. Its totient is φ = 847107072.

The previous prime is 2242202537. The next prime is 2242202549. The reversal of 2242202540 is 452022422.

It is not an unprimeable number, because it can be changed into a prime (2242202549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119306 + ... + 136814.

It is an arithmetic number, because the mean of its divisors is an integer number (103571650).

Almost surely, 22242202540 is an apocalyptic number.

2242202540 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 2242202540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2485719600).

2242202540 is an abundant number, since it is smaller than the sum of its proper divisors (2729236660).

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

2242202540 is a wasteful number, since it uses less digits than its factorization.

2242202540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17874 (or 17872 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

The square root of 2242202540 is about 47351.9011233974. The cubic root of 2242202540 is about 1308.8552320689.

Adding to 2242202540 its reverse (452022422), we get a palindrome (2694224962).

The spelling of 2242202540 in words is "two billion, two hundred forty-two million, two hundred two thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 337 380 674 1348 1685 3370 6403 6740 12806 17509 25612 32015 35018 64030 70036 87545 128060 175090 332671 350180 665342 1330684 1663355 3326710 5900533 6653420 11801066 23602132 29502665 59005330 112110127 118010660 224220254 448440508 560550635 1121101270 2242202540