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30222885056 = 26713173143229
BaseRepresentation
bin11100001001011011…
…001010000011000000
32220000021200122012012
4130021123022003000
5443344024310211
621514553152052
72116644166340
oct341133120300
986007618165
1030222885056
11118aa037961
125a356bb628
132b08602a50
141669ca6d20
15bbd4a3d8b
hex7096ca0c0

30222885056 has 448 divisors, whose sum is σ = 82913402880. Its totient is φ = 10590289920.

The previous prime is 30222885053. The next prime is 30222885061. The reversal of 30222885056 is 65058822203.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×302228850562 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30222885053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131977550 + ... + 131977778.

It is an arithmetic number, because the mean of its divisors is an integer number (185074560).

Almost surely, 230222885056 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 30222885056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41456701440).

30222885056 is an abundant number, since it is smaller than the sum of its proper divisors (52690517824).

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

30222885056 is a wasteful number, since it uses less digits than its factorization.

30222885056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The spelling of 30222885056 in words is "thirty billion, two hundred twenty-two million, eight hundred eighty-five thousand, fifty-six".