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3221441442 = 23453457821
BaseRepresentation
bin1100000000000011…
…0100101110100010
322022111201011220000
43000000310232202
523044142111232
61251354400430
7142554541362
oct30000645642
98274634800
103221441442
1114034686aa
1275aa30116
133c453808b
14227baa9a2
1513cc3627c
hexc0034ba2

3221441442 has 80 divisors (see below), whose sum is σ = 7379682552. Its totient is φ = 1049967360.

The previous prime is 3221441441. The next prime is 3221441453. The reversal of 3221441442 is 2441441223.

3221441442 is a `hidden beast` number, since 3 + 2 + 214 + 4 + 1 + 442 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3104606961 + 116834481 = 55719^2 + 10809^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3221441441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3923392 + ... + 3924212.

Almost surely, 23221441442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3221441442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689841276).

3221441442 is an abundant number, since it is smaller than the sum of its proper divisors (4158241110).

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

3221441442 is a wasteful number, since it uses less digits than its factorization.

3221441442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1336 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 3221441442 is about 56757.7434540874. The cubic root of 3221441442 is about 1476.8965651453.

Adding to 3221441442 its reverse (2441441223), we get a palindrome (5662882665).

The spelling of 3221441442 in words is "three billion, two hundred twenty-one million, four hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 457 477 821 914 954 1371 1431 1642 2463 2742 2862 4113 4293 4926 7389 8226 8586 12339 14778 22167 24221 24678 37017 43513 44334 48442 66501 72663 74034 87026 130539 133002 145326 217989 261078 375197 391617 435978 653967 750394 783234 1125591 1174851 1307934 1961901 2251182 2349702 3376773 3524553 3923802 6753546 7049106 10130319 19885441 20260638 30390957 39770882 59656323 60781914 119312646 178968969 357937938 536906907 1073813814 1610720721 3221441442