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2224541140 = 2252336713177
BaseRepresentation
bin1000010010010111…
…1100110111010100
312202000212101202121
42010211330313110
514023440304030
61004423345324
7106061200453
oct20445746724
95660771677
102224541140
11a41771758
12520bb2244
13295b44a43
14171628b9a
15d046847a
hex8497cdd4

2224541140 has 48 divisors (see below), whose sum is σ = 4888300032. Its totient is φ = 848745216.

The previous prime is 2224541131. The next prime is 2224541149. The reversal of 2224541140 is 411454222.

2224541140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2224541131) and next prime (2224541149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224541149) 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, 162232 + ... + 175408.

It is an arithmetic number, because the mean of its divisors is an integer number (101839584).

Almost surely, 22224541140 is an apocalyptic number.

2224541140 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 2224541140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444150016).

2224541140 is an abundant number, since it is smaller than the sum of its proper divisors (2663758892).

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

2224541140 is a wasteful number, since it uses less digits than its factorization.

2224541140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13576 (or 13574 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 2224541140 is about 47165.0415032151. The cubic root of 2224541140 is about 1305.4096354017.

Adding to 2224541140 its reverse (411454222), we get a palindrome (2635995362).

The spelling of 2224541140 in words is "two billion, two hundred twenty-four million, five hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 367 460 734 1468 1835 3670 7340 8441 13177 16882 26354 33764 42205 52708 65885 84410 131770 168820 263540 303071 606142 1212284 1515355 3030710 4835959 6061420 9671918 19343836 24179795 48359590 96719180 111227057 222454114 444908228 556135285 1112270570 2224541140