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1224540018 = 234131733361
BaseRepresentation
bin100100011111100…
…1111111101110010
310011100012002010000
41020333033331302
510001440240033
6321302050430
742226263342
oct11077177562
93140162100
101224540018
11579248049
122a2119a16
131669071c0
14b88bad22
1572786a13
hex48fcff72

1224540018 has 80 divisors (see below), whose sum is σ = 2972909016. Its totient is φ = 374492160.

The previous prime is 1224540013. The next prime is 1224540019. The reversal of 1224540018 is 8100454221.

1224540018 is a `hidden beast` number, since 1 + 2 + 245 + 400 + 18 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1167793929 + 56746089 = 34173^2 + 7533^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1224539973 and 1224540000.

It is not an unprimeable number, because it can be changed into a prime (1224540011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362658 + ... + 366018.

Almost surely, 21224540018 is an apocalyptic number.

1224540018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1224540018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486454508).

1224540018 is an abundant number, since it is smaller than the sum of its proper divisors (1748368998).

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

1224540018 is a wasteful number, since it uses less digits than its factorization.

1224540018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3561 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1224540018 is about 34993.4282115942. The cubic root of 1224540018 is about 1069.8535386338.

Adding to 1224540018 its reverse (8100454221), we get a palindrome (9324994239).

The spelling of 1224540018 in words is "one billion, two hundred twenty-four million, five hundred forty thousand, eighteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 173 234 346 351 519 702 1038 1053 1557 2106 2249 3114 3361 4498 4671 6722 6747 9342 10083 13494 14013 20166 20241 28026 30249 40482 43693 60498 60723 87386 90747 121446 131079 181494 182169 262158 272241 364338 393237 544482 581453 786474 1162906 1179711 1744359 2359422 3488718 3539133 5233077 7078266 7558889 10466154 15117778 15699231 22676667 31398462 45353334 47097693 68030001 94195386 136060002 204090003 408180006 612270009 1224540018