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230517230397300 = 2234527112912744701
BaseRepresentation
bin110100011010011101111001…
…101000011110011101110100
31010020012020021010120101220000
4310122131321220132131310
5220203243241440203200
62134134053111111300
766361214601604020
oct6432357150363564
91106166233511800
10230517230397300
11674a4898a95370
1221a2b94a072530
139b818b24aa352
1440cd144729380
151b9b4374d4300
hexd1a779a1e774

230517230397300 has 720 divisors, whose sum is σ = 963756404392320. Its totient is φ = 46247967360000.

The previous prime is 230517230397283. The next prime is 230517230397319. The reversal of 230517230397300 is 3793032715032.

230517230397300 is a `hidden beast` number, since 2 + 3 + 0 + 517 + 2 + 30 + 39 + 73 + 0 + 0 = 666.

It is a super-2 number, since 2×2305172303973002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 11714950 + ... + 24459650.

It is an arithmetic number, because the mean of its divisors is an integer number (1338550561656).

Almost surely, 2230517230397300 is an apocalyptic number.

230517230397300 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 230517230397300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481878202196160).

230517230397300 is an abundant number, since it is smaller than the sum of its proper divisors (733239173995020).

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

230517230397300 is a wasteful number, since it uses less digits than its factorization.

230517230397300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12744774 (or 12744758 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 45.

The spelling of 230517230397300 in words is "two hundred thirty trillion, five hundred seventeen billion, two hundred thirty million, three hundred ninety-seven thousand, three hundred".