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230655600000 = 2736557113
BaseRepresentation
bin1101011011010000100…
…1010010010110000000
3211001100210012112000000
43112310021102112000
512234340313200000
6253543422000000
722443601152060
oct3266411222600
9731323175000
10230655600000
1189903089211
1238852116000
131899b479167
14b2416273a0
155eee900000
hex35b4252580

230655600000 has 1344 divisors, whose sum is σ = 992858640480. Its totient is φ = 52254720000.

The previous prime is 230655599983. The next prime is 230655600013. The reversal of 230655600000 is 6556032.

230655600000 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 55 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×2306556000002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2041199944 + ... + 2041200056.

Almost surely, 2230655600000 is an apocalyptic number.

230655600000 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 230655600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496429320240).

230655600000 is an abundant number, since it is smaller than the sum of its proper divisors (762203040480).

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

230655600000 is an frugal number, since it uses more digits than its factorization.

230655600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 230655600000 in words is "two hundred thirty billion, six hundred fifty-five million, six hundred thousand".