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30112390224 = 2434721727893
BaseRepresentation
bin11100000010110101…
…101001110001010000
32212201120202220210000
4130002311221301100
5443132232441344
621500005010000
72114133044100
oct340265516120
985646686700
1030112390224
1111852728514
125a046b3900
132abb7563a7
141659343200
15bb3929a69
hex702d69c50

30112390224 has 300 divisors, whose sum is σ = 107350784244. Its totient is φ = 8097159168.

The previous prime is 30112390223. The next prime is 30112390279. The reversal of 30112390224 is 42209321103.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 28167580224 + 1944810000 = 167832^2 + 44100^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30112390223) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1065622 + ... + 1093514.

Almost surely, 230112390224 is an apocalyptic number.

30112390224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30112390224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53675392122).

30112390224 is an abundant number, since it is smaller than the sum of its proper divisors (77238394020).

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

30112390224 is a wasteful number, since it uses less digits than its factorization.

30112390224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27944 (or 27922 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 30112390224 in words is "thirty billion, one hundred twelve million, three hundred ninety thousand, two hundred twenty-four".