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227675313712 = 247111941613889
BaseRepresentation
bin1101010000001010000…
…0011001011000110000
3210202200002021021210101
43110002200121120300
512212234340014322
6252332000042144
722310002143550
oct3240240313060
9722602237711
10227675313712
1188613862aa0
1238160003354
1318614ba7952
14b03b8b3160
155dc7e52327
hex3502819630

227675313712 has 320 divisors, whose sum is σ = 602911411200. Its totient is φ = 80621568000.

The previous prime is 227675313707. The next prime is 227675313779. The reversal of 227675313712 is 217313576722.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58541464 + ... + 58545352.

It is an arithmetic number, because the mean of its divisors is an integer number (1884098160).

Almost surely, 2227675313712 is an apocalyptic number.

227675313712 is a gapful number since it is divisible by the number (22) 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 227675313712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301455705600).

227675313712 is an abundant number, since it is smaller than the sum of its proper divisors (375236097488).

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

227675313712 is a wasteful number, since it uses less digits than its factorization.

227675313712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 4030 counting only the distinct ones).

The product of its digits is 740880, while the sum is 46.

The spelling of 227675313712 in words is "two hundred twenty-seven billion, six hundred seventy-five million, three hundred thirteen thousand, seven hundred twelve".