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22215505241 = 293421180097
BaseRepresentation
bin10100101100001001…
…011011010101011001
32010100020101121002102
4110230021123111121
5330444132131431
614112231213145
71414343451566
oct245411332531
963306347072
1022215505241
119470089996
12437bb171b5
1321306a7897
14110a63b86d
158a04ebdcb
hex52c25b559

22215505241 has 8 divisors (see below), whose sum is σ = 22344398664. Its totient is φ = 22086973440.

The previous prime is 22215505199. The next prime is 22215505289. The reversal of 22215505241 is 14250551222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 357361216 + 21858144025 = 18904^2 + 147845^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22215505241 - 210 = 22215504217 is a prime.

It is a super-2 number, since 2×222155052412 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22215205241) 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 7 ways as a sum of consecutive naturals, for example, 33305 + ... + 213401.

It is an arithmetic number, because the mean of its divisors is an integer number (2793049833).

Almost surely, 222215505241 is an apocalyptic number.

It is an amenable number.

22215505241 is a deficient number, since it is larger than the sum of its proper divisors (128893423).

22215505241 is a wasteful number, since it uses less digits than its factorization.

22215505241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180811.

The product of its (nonzero) digits is 8000, while the sum is 29.

The spelling of 22215505241 in words is "twenty-two billion, two hundred fifteen million, five hundred five thousand, two hundred forty-one".

Divisors: 1 293 421 123353 180097 52768421 75820837 22215505241