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2243113340 = 225132739091
BaseRepresentation
bin1000010110110011…
…0011000101111100
312210022210222000212
42011230303011330
514043214111330
61010325411552
7106405102016
oct20554630574
95708728025
102243113340
11a511a7286
12527269bb8
13299948300
14173ca11b6
15d1dd6295
hex85b3317c

2243113340 has 72 divisors (see below), whose sum is σ = 5171202288. Its totient is φ = 816791040.

The previous prime is 2243113339. The next prime is 2243113363. The reversal of 2243113340 is 433113422.

2243113340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242195 + ... + 251285.

It is an arithmetic number, because the mean of its divisors is an integer number (71822254).

Almost surely, 22243113340 is an apocalyptic number.

2243113340 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 2243113340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585601144).

2243113340 is an abundant number, since it is smaller than the sum of its proper divisors (2928088948).

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

2243113340 is a wasteful number, since it uses less digits than its factorization.

2243113340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9199 (or 9184 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 2243113340 is about 47361.5175010261. The cubic root of 2243113340 is about 1309.0324304481.

Adding to 2243113340 its reverse (433113422), we get a palindrome (2676226762).

The spelling of 2243113340 in words is "two billion, two hundred forty-three million, one hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 169 260 292 338 365 676 730 845 949 1460 1690 1898 3380 3796 4745 9091 9490 12337 18182 18980 24674 36364 45455 49348 61685 90910 118183 123370 181820 236366 246740 472732 590915 663643 1181830 1327286 1536379 2363660 2654572 3072758 3318215 6145516 6636430 7681895 8627359 13272860 15363790 17254718 30727580 34509436 43136795 86273590 112155667 172547180 224311334 448622668 560778335 1121556670 2243113340