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229307341455360 = 214325797458053
BaseRepresentation
bin110100001000110111000110…
…101000011100000000000000
31010001220120022220001222210200
4310020313012220130000000
5220023432413403032420
62131410201032125200
766204623454355320
oct6410670650340000
91101816286058720
10229307341455360
1167078774248893
1221875370836800
139ac478821b00c
14408a76ab0b280
151b79c24576b90
hexd08dc6a1c000

229307341455360 has 720 divisors, whose sum is σ = 917833756921536. Its totient is φ = 51872652066816.

The previous prime is 229307341455349. The next prime is 229307341455383. The reversal of 229307341455360 is 63554143703922.

229307341455360 is a `hidden beast` number, since 2 + 2 + 9 + 3 + 0 + 73 + 4 + 14 + 553 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 229307341455297 and 229307341455306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 500384094 + ... + 500842146.

Almost surely, 2229307341455360 is an apocalyptic number.

229307341455360 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 229307341455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458916878460768).

229307341455360 is an abundant number, since it is smaller than the sum of its proper divisors (688526415466176).

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

229307341455360 is an equidigital number, since it uses as much as digits as its factorization.

229307341455360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458196 (or 458167 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 229307341455360 in words is "two hundred twenty-nine trillion, three hundred seven billion, three hundred forty-one million, four hundred fifty-five thousand, three hundred sixty".