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1223544042 = 23478571259
BaseRepresentation
bin100100011101101…
…1100110011101010
310011021022110220000
41020323130303222
510001211402132
6321224443430
742214644540
oct11073346352
93137273800
101223544042
11578727826
122a1919576
13166648a76
14b86dbd90
157263b87c
hex48edccea

1223544042 has 80 divisors (see below), whose sum is σ = 3139456320. Its totient is φ = 348898752.

The previous prime is 1223544031. The next prime is 1223544073. The reversal of 1223544042 is 2404453221.

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 = 1223543997 and 1223544015.

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 39 ways as a sum of consecutive naturals, for example, 971209 + ... + 972467.

It is an arithmetic number, because the mean of its divisors is an integer number (39243204).

Almost surely, 21223544042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1223544042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569728160).

1223544042 is an abundant number, since it is smaller than the sum of its proper divisors (1915912278).

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

1223544042 is a wasteful number, since it uses less digits than its factorization.

1223544042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 1223544042 is about 34979.1944161097. The cubic root of 1223544042 is about 1069.5634058902.

Adding to 1223544042 its reverse (2404453221), we get a palindrome (3627997263).

The spelling of 1223544042 in words is "one billion, two hundred twenty-three million, five hundred forty-four thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 857 1134 1259 1714 2518 2571 3777 5142 5999 7554 7713 8813 11331 11998 15426 17626 17997 22662 23139 26439 33993 35994 46278 52878 53991 67986 69417 79317 101979 107982 138834 158634 161973 203958 237951 323946 475902 485919 713853 971838 1078963 1427706 2157926 3236889 6473778 7552741 9710667 15105482 19421334 22658223 29132001 45316446 58264002 67974669 87396003 135949338 174792006 203924007 407848014 611772021 1223544042