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222295117088 = 2511275772
BaseRepresentation
bin1100111100000111010…
…0100100110100100000
3210020210010110222111202
43033001310210310200
512120230022221323
6250042043500332
722026452214242
oct3170164446440
9706703428452
10222295117088
1186302886700
12370ba2276a8
1317c6834c555
14aa8b124092
155bb0949d28
hex33c1d24d20

222295117088 has 54 divisors (see below), whose sum is σ = 481109670153. Its totient is φ = 101029899520.

The previous prime is 222295117081. The next prime is 222295117097. The reversal of 222295117088 is 880711592222.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

222295117088 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 129130985104 + 93164131984 = 359348^2 + 305228^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=333388.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (222295117081) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29334356 + ... + 29341932.

Almost surely, 2222295117088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222295117088

222295117088 is an abundant number, since it is smaller than the sum of its proper divisors (258814553065).

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

222295117088 is an frugal number, since it uses more digits than its factorization.

222295117088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15186 (or 7590 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 47.

The spelling of 222295117088 in words is "two hundred twenty-two billion, two hundred ninety-five million, one hundred seventeen thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 7577 15154 30308 60616 83347 121232 166694 242464 333388 666776 916817 1333552 1833634 2667104 3667268 7334536 14669072 29338144 57410929 114821858 229643716 459287432 631520219 918574864 1263040438 1837149728 2526080876 5052161752 6946722409 10104323504 13893444818 20208647008 27786889636 55573779272 111147558544 222295117088