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230217050677320 = 233257241332395791
BaseRepresentation
bin110100010110000110010101…
…100001101110000001001000
31010012010112110002110122200100
4310112012111201232001020
5220133334004433133240
62133344130354005400
766330430062230400
oct6426062541560110
91105115402418610
10230217050677320
11673995593a7863
12219a1734576860
139b5c4b4375175
1440bc7c97a3800
151b93719174e30
hexd1619586e048

230217050677320 has 576 divisors, whose sum is σ = 891867346755840. Its totient is φ = 51321615206400.

The previous prime is 230217050677303. The next prime is 230217050677337. The reversal of 230217050677320 is 23776050712032.

It is a happy number.

230217050677320 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 1 + 70 + 506 + 7 + 73 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (230217050677303) and next prime (230217050677337).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2403278625 + ... + 2403374415.

It is an arithmetic number, because the mean of its divisors is an integer number (1548380810340).

Almost surely, 2230217050677320 is an apocalyptic number.

230217050677320 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 230217050677320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445933673377920).

230217050677320 is an abundant number, since it is smaller than the sum of its proper divisors (661650296078520).

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

230217050677320 is a wasteful number, since it uses less digits than its factorization.

230217050677320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99186 (or 99172 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 230217050677320 in words is "two hundred thirty trillion, two hundred seventeen billion, fifty million, six hundred seventy-seven thousand, three hundred twenty".