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230166610344 = 233311235637481
BaseRepresentation
bin1101011001011011111…
…1111100000110101000
3211000002201002021022000
43112112333330012220
512232340123012334
6253423113131000
722425512623206
oct3262677740650
9730081067260
10230166610344
1189682062030
12387363b9a60
131892107a778
14b1d66da076
155ec1a0e299
hex3596ffc1a8

230166610344 has 256 divisors, whose sum is σ = 729189734400. Its totient is φ = 66587558400.

The previous prime is 230166610339. The next prime is 230166610357. The reversal of 230166610344 is 443016661032.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 230166610299 and 230166610308.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30763084 + ... + 30770564.

It is an arithmetic number, because the mean of its divisors is an integer number (2848397400).

Almost surely, 2230166610344 is an apocalyptic number.

230166610344 is a gapful number since it is divisible by the number (24) 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 230166610344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364594867200).

230166610344 is an abundant number, since it is smaller than the sum of its proper divisors (499023124056).

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

230166610344 is a wasteful number, since it uses less digits than its factorization.

230166610344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8093 (or 8083 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 230166610344 in words is "two hundred thirty billion, one hundred sixty-six million, six hundred ten thousand, three hundred forty-four".