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30222905328 = 24387113739
BaseRepresentation
bin11100001001011011…
…001110111111110000
32220000021201200000000
4130021123032333300
5443344030432303
621514553430000
72116644312420
oct341133167760
986007650000
1030222905328
11118aa051110
125a3570b300
132b0860c045
141669cb0480
15bbd4a9da3
hex7096ceff0

30222905328 has 360 divisors, whose sum is σ = 109532691840. Its totient is φ = 7848005760.

The previous prime is 30222905291. The next prime is 30222905357. The reversal of 30222905328 is 82350922203.

30222905328 is a `hidden beast` number, since 30 + 2 + 2 + 2 + 90 + 532 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30222905292 and 30222905301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8081283 + ... + 8085021.

Almost surely, 230222905328 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 30222905328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54766345920).

30222905328 is an abundant number, since it is smaller than the sum of its proper divisors (79309786512).

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

30222905328 is an equidigital number, since it uses as much as digits as its factorization.

30222905328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3789 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 30222905328 in words is "thirty billion, two hundred twenty-two million, nine hundred five thousand, three hundred twenty-eight".