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10222728561 = 324724167207
BaseRepresentation
bin10011000010101001…
…00111010101110001
3222101102212102021100
421201110213111301
5131414004303221
64410220315013
7511220521233
oct114124472561
928342772240
1010222728561
114376511301
121b936a2a69
13c6bba1b16
146cd980253
153ec706926
hex261527571

10222728561 has 12 divisors (see below), whose sum is σ = 15080337792. Its totient is φ = 6670148856.

The previous prime is 10222728499. The next prime is 10222728583. The reversal of 10222728561 is 16582722201.

It is a happy number.

10222728561 is a `hidden beast` number, since 1 + 0 + 2 + 22 + 72 + 8 + 561 = 666.

It is a de Polignac number, because none of the positive numbers 2k-10222728561 is a prime.

It is a super-3 number, since 3×102227285613 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10222727561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12083181 + ... + 12084026.

It is an arithmetic number, because the mean of its divisors is an integer number (1256694816).

Almost surely, 210222728561 is an apocalyptic number.

It is an amenable number.

10222728561 is a deficient number, since it is larger than the sum of its proper divisors (4857609231).

10222728561 is a wasteful number, since it uses less digits than its factorization.

10222728561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24167260 (or 24167257 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 10222728561 in words is "ten billion, two hundred twenty-two million, seven hundred twenty-eight thousand, five hundred sixty-one".

Divisors: 1 3 9 47 141 423 24167207 72501621 217504863 1135858729 3407576187 10222728561