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2230838484 = 2237237102539
BaseRepresentation
bin1000010011110111…
…1110010011010100
312202110201100002120
42010331332103110
514032043312414
61005210335540
7106165546200
oct20475762324
95673640076
102230838484
11a45282a76
1252312a5b0
1329723b194
141723c7b00
15d0cae2a9
hex84f7e4d4

2230838484 has 72 divisors (see below), whose sum is σ = 6218845920. Its totient is φ = 620149824.

The previous prime is 2230838479. The next prime is 2230838527. The reversal of 2230838484 is 4848380322.

It is a super-3 number, since 3×22308384843 (a number of 29 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29514 + ... + 73025.

It is an arithmetic number, because the mean of its divisors is an integer number (86372860).

Almost surely, 22230838484 is an apocalyptic number.

It is an amenable number.

2230838484 is an abundant number, since it is smaller than the sum of its proper divisors (3988007436).

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

2230838484 is a wasteful number, since it uses less digits than its factorization.

2230838484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102597 (or 102588 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 2230838484 is about 47231.7529211017. The cubic root of 2230838484 is about 1306.6402814967.

It can be divided in two parts, 2230838 and 484, that added together give a palindrome (2231322).

The spelling of 2230838484 in words is "two billion, two hundred thirty million, eight hundred thirty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 111 147 148 196 222 259 294 444 518 588 777 1036 1554 1813 3108 3626 5439 7252 10878 21756 102539 205078 307617 410156 615234 717773 1230468 1435546 2153319 2871092 3793943 4306638 5024411 7587886 8613276 10048822 11381829 15073233 15175772 20097644 22763658 26557601 30146466 45527316 53115202 60292932 79672803 106230404 159345606 185903207 318691212 371806414 557709621 743612828 1115419242 2230838484