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30110546224 = 24111674992053
BaseRepresentation
bin11100000010101110…
…100111100100110000
32212201110022020021201
4130002232213210300
5443131244434344
621455501300544
72114111264023
oct340256474460
985643266251
1030110546224
1111851689050
125a03b64754
132abb25bc75
141658dc31ba
15bb36b34d4
hex702ba7930

30110546224 has 80 divisors (see below), whose sum is σ = 64183392000. Its totient is φ = 13570778880.

The previous prime is 30110546203. The next prime is 30110546227. The reversal of 30110546224 is 42264501103.

It is a junction number, because it is equal to n+sod(n) for n = 30110546192 and 30110546201.

It is not an unprimeable number, because it can be changed into a prime (30110546227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14665582 + ... + 14667634.

It is an arithmetic number, because the mean of its divisors is an integer number (802292400).

Almost surely, 230110546224 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 30110546224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32091696000).

30110546224 is an abundant number, since it is smaller than the sum of its proper divisors (34072845776).

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

30110546224 is a wasteful number, since it uses less digits than its factorization.

30110546224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 30110546224 in words is "thirty billion, one hundred ten million, five hundred forty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 167 176 334 499 668 998 1336 1837 1996 2053 2672 3674 3992 4106 5489 7348 7984 8212 10978 14696 16424 21956 22583 29392 32848 43912 45166 83333 87824 90332 166666 180664 333332 342851 361328 666664 685702 916663 1024447 1333328 1371404 1833326 2048894 2742808 3666652 3771361 4097788 5485616 7333304 7542722 8195576 11268917 14666608 15085444 16391152 22537834 30170888 45075668 60341776 90151336 171082649 180302672 342165298 684330596 1368661192 1881909139 2737322384 3763818278 7527636556 15055273112 30110546224