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227985466368 = 21031121921699
BaseRepresentation
bin1101010001010011111…
…1100010010000000000
3210210110200212200020210
43110110333202100000
512213403234410433
6252422435434120
722320456326652
oct3242477422000
9723420780223
10227985466368
1188762941300
1238227a55940
131866421b92a
14b06ab6a6d2
155de52b9463
hex3514fe2400

227985466368 has 396 divisors, whose sum is σ = 705347890800. Its totient is φ = 65411850240.

The previous prime is 227985466217. The next prime is 227985466393. The reversal of 227985466368 is 863664589722.

It is a super-2 number, since 2×2279854663682 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 227985466299 and 227985466308.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134187183 + ... + 134188881.

Almost surely, 2227985466368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 227985466368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352673945400).

227985466368 is an abundant number, since it is smaller than the sum of its proper divisors (477362424432).

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

227985466368 is a wasteful number, since it uses less digits than its factorization.

227985466368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1734 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 66.

The spelling of 227985466368 in words is "two hundred twenty-seven billion, nine hundred eighty-five million, four hundred sixty-six thousand, three hundred sixty-eight".