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1224540044 = 2271319593001
BaseRepresentation
bin100100011111100…
…1111111110001100
310011100012002010222
41020333033332030
510001440240134
6321302050512
742226263410
oct11077177614
93140162128
101224540044
11579248072
122a2119a38
13166907210
14b88bad40
1572786a2e
hex48fcff8c

1224540044 has 96 divisors (see below), whose sum is σ = 2824281600. Its totient is φ = 451008000.

The previous prime is 1224540019. The next prime is 1224540061. The reversal of 1224540044 is 4400454221.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 1224539995 and 1224540022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 406544 + ... + 409544.

It is an arithmetic number, because the mean of its divisors is an integer number (29419600).

Almost surely, 21224540044 is an apocalyptic number.

1224540044 is a gapful number since it is divisible by the number (14) 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 1224540044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412140800).

1224540044 is an abundant number, since it is smaller than the sum of its proper divisors (1599741556).

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

1224540044 is a wasteful number, since it uses less digits than its factorization.

1224540044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 1224540044 is about 34993.4285830926. The cubic root of 1224540044 is about 1069.8535462057.

Adding to 1224540044 its reverse (4400454221), we get a palindrome (5624994265).

The spelling of 1224540044 in words is "one billion, two hundred twenty-four million, five hundred forty thousand, forty-four".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 59 76 91 118 133 182 236 247 266 364 413 494 532 767 826 988 1121 1534 1652 1729 2242 3001 3068 3458 4484 5369 6002 6916 7847 10738 12004 14573 15694 21007 21476 29146 31388 39013 42014 57019 58292 78026 84028 102011 114038 156052 177059 204022 228076 273091 354118 399133 408044 546182 708236 741247 798266 1092364 1239413 1482494 1596532 2301767 2478826 2964988 3364121 4603534 4957652 5188729 6728242 9207068 10377458 13456484 16112369 20754916 23548847 32224738 43733573 47097694 64449476 87467146 94195388 174934292 306135011 612270022 1224540044