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30222586368 = 29321321972
BaseRepresentation
bin11100001001011010…
…000001001000000000
32220000021010110110200
4130021122001020000
5443343440230433
621514542525200
72116641513462
oct341132011000
986007113420
1030222586368
11118a9953507
125a35596800
132b08529b00
141669c2a132
15bbd445613
hex709681200

30222586368 has 270 divisors, whose sum is σ = 94931999019. Its totient is φ = 9252052992.

The previous prime is 30222586327. The next prime is 30222586397. The reversal of 30222586368 is 86368522203.

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.

30222586368 is a `hidden beast` number, since 3 + 0 + 2 + 2 + 2 + 5 + 8 + 636 + 8 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 22413682944 + 7808903424 = 149712^2 + 88368^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=122928.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 153414046 + ... + 153414242.

Almost surely, 230222586368 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 30222586368

30222586368 is an abundant number, since it is smaller than the sum of its proper divisors (64709412651).

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

30222586368 is an equidigital number, since it uses as much as digits as its factorization.

30222586368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 30222586368 in words is "thirty billion, two hundred twenty-two million, five hundred eighty-six thousand, three hundred sixty-eight".