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30883223808 = 283517192953
BaseRepresentation
bin11100110000110010…
…001001100100000000
32221201022020022200000
4130300302021210000
51001222101130213
622104302400000
72142213033243
oct346062114400
987638208600
1030883223808
1112108858168
125b9a890000
132bb2366838
1416cd87925a
15c0b43ec73
hex730c89900

30883223808 has 864 divisors, whose sum is σ = 108477532800. Its totient is φ = 8695185408.

The previous prime is 30883223807. The next prime is 30883223867. The reversal of 30883223808 is 80832238803.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (30883223807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 582702310 + ... + 582702362.

It is an arithmetic number, because the mean of its divisors is an integer number (125552700).

Almost surely, 230883223808 is an apocalyptic number.

30883223808 is a gapful number since it is divisible by the number (38) 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 30883223808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54238766400).

30883223808 is an abundant number, since it is smaller than the sum of its proper divisors (77594308992).

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

30883223808 is a wasteful number, since it uses less digits than its factorization.

30883223808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 30883223808 in words is "thirty billion, eight hundred eighty-three million, two hundred twenty-three thousand, eight hundred eight".