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230103072 = 253319107131
BaseRepresentation
bin11011011011100…
…01100000100000
3121000222110002000
431231301200200
5432401244242
634455524000
75462562303
oct1555614040
9530873060
10230103072
11108983931
1265089600
1338897184
14227bab3a
1515303a4c
hexdb71820

230103072 has 192 divisors, whose sum is σ = 718502400. Its totient is φ = 71435520.

The previous prime is 230103059. The next prime is 230103073. The reversal of 230103072 is 270301032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (230103073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1756447 + ... + 1756577.

It is an arithmetic number, because the mean of its divisors is an integer number (3742200).

Almost surely, 2230103072 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 230103072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359251200).

230103072 is an abundant number, since it is smaller than the sum of its proper divisors (488399328).

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

230103072 is a wasteful number, since it uses less digits than its factorization.

230103072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 230103072 is about 15169.1486906814. The cubic root of 230103072 is about 612.7840776926.

The spelling of 230103072 in words is "two hundred thirty million, one hundred three thousand, seventy-two".