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2221420041 = 323167151787
BaseRepresentation
bin1000010001101000…
…0010111000001001
312201210222211102100
42010122002320021
514022140420131
61004232424013
7106022521161
oct20432027011
95653884370
102221420041
11a3aa2a835
1251bb48009
132952c1239
141710555a1
15d004d7e6
hex84682e09

2221420041 has 48 divisors (see below), whose sum is σ = 3388223488. Its totient is φ = 1400652000.

The previous prime is 2221420031. The next prime is 2221420043. The reversal of 2221420041 is 1400241222.

It is not a de Polignac number, because 2221420041 - 27 = 2221419913 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2221419996 and 2221420023.

It is not an unprimeable number, because it can be changed into a prime (2221420043) 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 47 ways as a sum of consecutive naturals, for example, 2822250 + ... + 2823036.

Almost surely, 22221420041 is an apocalyptic number.

It is an amenable number.

2221420041 is a deficient number, since it is larger than the sum of its proper divisors (1166803447).

2221420041 is a wasteful number, since it uses less digits than its factorization.

2221420041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2221420041 is about 47131.9428943896. The cubic root of 2221420041 is about 1304.7988398264.

Adding to 2221420041 its reverse (1400241222), we get a palindrome (3621661263).

The spelling of 2221420041 in words is "two billion, two hundred twenty-one million, four hundred twenty thousand, forty-one".

Divisors: 1 3 9 31 67 93 151 201 279 453 603 787 1359 2077 2361 4681 6231 7083 10117 14043 18693 24397 30351 42129 52729 73191 91053 118837 158187 219573 313627 356511 474561 940881 1069533 1634599 2822643 3683947 4903797 7962079 11051841 14711391 23886237 33155523 71658711 246824449 740473347 2221420041