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230230477163520 = 21034523316711621
BaseRepresentation
bin110100010110010010110101…
…110011101100110000000000
31010012011211002210202211020000
4310112102311303230300000
5220134044004123213040
62133354230542120000
766331413564412131
oct6426226563546000
91105154083684200
10230230477163520
11673a4219298649
12219a4260b80000
139b60843bccc62
1440bd300a29c88
151b93c52c6d130
hexd164b5cecc00

230230477163520 has 1760 divisors, whose sum is σ = 901997776982016. Its totient is φ = 55978042982400.

The previous prime is 230230477163509. The next prime is 230230477163539. The reversal of 230230477163520 is 25361774032032.

230230477163520 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 3 + 0 + 4 + 7 + 7 + 1 + 635 + 2 + 0 = 666.

It is a super-2 number, since 2×2302304771635202 (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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19811583310 + ... + 19811594930.

Almost surely, 2230230477163520 is an apocalyptic number.

230230477163520 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 230230477163520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450998888491008).

230230477163520 is an abundant number, since it is smaller than the sum of its proper divisors (671767299818496).

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

230230477163520 is a wasteful number, since it uses less digits than its factorization.

230230477163520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11779 (or 11752 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 230230477163520 in words is "two hundred thirty trillion, two hundred thirty billion, four hundred seventy-seven million, one hundred sixty-three thousand, five hundred twenty".