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248022060320 = 255172328314009
BaseRepresentation
bin1110011011111101000…
…1000100110100100000
3212201012002021002222002
43212333101010310200
513030422121412240
6305534553303132
723630134504526
oct3467721046440
9781162232862
10248022060320
1196204a94961
124009a104aa8
131a508369998
14c00bc5a316
1566b9362d15
hex39bf444d20

248022060320 has 192 divisors, whose sum is σ = 649728656640. Its totient is φ = 88991367168.

The previous prime is 248022060301. The next prime is 248022060359. The reversal of 248022060320 is 23060220842.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17697476 + ... + 17711484.

It is an arithmetic number, because the mean of its divisors is an integer number (3384003420).

Almost surely, 2248022060320 is an apocalyptic number.

248022060320 is a gapful number since it is divisible by the number (20) 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 248022060320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324864328320).

248022060320 is an abundant number, since it is smaller than the sum of its proper divisors (401706596320).

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

248022060320 is a wasteful number, since it uses less digits than its factorization.

248022060320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14347 (or 14339 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The spelling of 248022060320 in words is "two hundred forty-eight billion, twenty-two million, sixty thousand, three hundred twenty".