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2243153440 = 2551110112619
BaseRepresentation
bin1000010110110011…
…1100111000100000
312210022220000001001
42011230330320200
514043221402230
61010330321344
7106405326643
oct20554747040
95708800031
102243153440
11a51224420
12527289254
13299960638
14173cb1a5a
15d1de30ca
hex85b3ce20

2243153440 has 96 divisors (see below), whose sum is σ = 5838920640. Its totient is φ = 807552000.

The previous prime is 2243153431. The next prime is 2243153447. The reversal of 2243153440 is 443513422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2243153399 and 2243153408.

It is not an unprimeable number, because it can be changed into a prime (2243153447) 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, 171451 + ... + 184069.

It is an arithmetic number, because the mean of its divisors is an integer number (60822090).

Almost surely, 22243153440 is an apocalyptic number.

2243153440 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 2243153440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919460320).

2243153440 is an abundant number, since it is smaller than the sum of its proper divisors (3595767200).

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

2243153440 is a wasteful number, since it uses less digits than its factorization.

2243153440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12746 (or 12738 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 2243153440 is about 47361.9408386101. The cubic root of 2243153440 is about 1309.0402308992.

Adding to 2243153440 its reverse (443513422), we get a palindrome (2686666862).

The spelling of 2243153440 in words is "two billion, two hundred forty-three million, one hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 101 110 160 176 202 220 352 404 440 505 808 880 1010 1111 1616 1760 2020 2222 3232 4040 4444 5555 8080 8888 11110 12619 16160 17776 22220 25238 35552 44440 50476 63095 88880 100952 126190 138809 177760 201904 252380 277618 403808 504760 555236 694045 1009520 1110472 1274519 1388090 2019040 2220944 2549038 2776180 4441888 5098076 5552360 6372595 10196152 11104720 12745190 14019709 20392304 22209440 25490380 28039418 40784608 50980760 56078836 70098545 101961520 112157672 140197090 203923040 224315344 280394180 448630688 560788360 1121576720 2243153440