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230870016 = 21032134147
BaseRepresentation
bin11011100001011…
…00110000000000
3121002102102010100
431300230300000
5433100320031
634524202400
75502235266
oct1560546000
9532372110
10230870016
11109358073
1265399400
1338aa52a0
142293a436
1515405de6
hexdc2cc00

230870016 has 264 divisors, whose sum is σ = 751068864. Its totient is φ = 67829760.

The previous prime is 230869999. The next prime is 230870023. The reversal of 230870016 is 610078032.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4912105 + ... + 4912151.

Almost surely, 2230870016 is an apocalyptic number.

230870016 is a gapful number since it is divisible by the number (26) 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 230870016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375534432).

230870016 is an abundant number, since it is smaller than the sum of its proper divisors (520198848).

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

230870016 is a wasteful number, since it uses less digits than its factorization.

230870016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 230870016 is about 15194.4073921953. The cubic root of 230870016 is about 613.4641350937.

The spelling of 230870016 in words is "two hundred thirty million, eight hundred seventy thousand, sixteen".