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22221023301 = 341201228421
BaseRepresentation
bin10100101100011110…
…011110100001000101
32010100121202221110000
4110230132132201011
5331002040221201
614112545351513
71414441403331
oct245436364105
963317687400
1022221023301
119473208774
124381938599
13213188a3c9
14110b2767c1
158a0c3bd86
hex52c79e845

22221023301 has 20 divisors (see below), whose sum is σ = 33222152524. Its totient is φ = 14801616000.

The previous prime is 22221023299. The next prime is 22221023369. The reversal of 22221023301 is 10332012222.

22221023301 is a `hidden beast` number, since 222 + 210 + 233 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4418792676 + 17802230625 = 66474^2 + 133425^2 .

It is not a de Polignac number, because 22221023301 - 21 = 22221023299 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22221023101) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 16930 + ... + 211491.

Almost surely, 222221023301 is an apocalyptic number.

It is an amenable number.

22221023301 is a deficient number, since it is larger than the sum of its proper divisors (11001129223).

22221023301 is a wasteful number, since it uses less digits than its factorization.

22221023301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229634 (or 229625 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22221023301 its reverse (10332012222), we get a palindrome (32553035523).

The spelling of 22221023301 in words is "twenty-two billion, two hundred twenty-one million, twenty-three thousand, three hundred one".

Divisors: 1 3 9 27 81 1201 3603 10809 32427 97281 228421 685263 2055789 6167367 18502101 274333621 823000863 2469002589 7407007767 22221023301