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228376247168 = 2767113235661
BaseRepresentation
bin1101010010110001001…
…0001111101110000000
3210211110221012101201202
43110230102033232000
512220203304402133
6252525315320332
722333243033406
oct3245422175600
9724427171652
10228376247168
118894348a743
12383168b00a8
13186c7182b84
14b0a6a11476
155e1975b2e8
hex352c48fb80

228376247168 has 64 divisors (see below), whose sum is σ = 465847215120. Its totient is φ = 111487918080.

The previous prime is 228376247167. The next prime is 228376247191. The reversal of 228376247168 is 861742673822.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×2283762471683 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228376247167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 851258 + ... + 1086918.

Almost surely, 2228376247168 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 228376247168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232923607560).

228376247168 is an abundant number, since it is smaller than the sum of its proper divisors (237470967952).

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

228376247168 is a wasteful number, since it uses less digits than its factorization.

228376247168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235855 (or 235843 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 56.

The spelling of 228376247168 in words is "two hundred twenty-eight billion, three hundred seventy-six million, two hundred forty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 67 113 128 134 226 268 452 536 904 1072 1808 2144 3616 4288 7232 7571 8576 14464 15142 30284 60568 121136 235661 242272 471322 484544 942644 969088 1885288 3770576 7541152 15082304 15789287 26629693 30164608 31578574 53259386 63157148 106518772 126314296 213037544 252628592 426075088 505257184 852150176 1010514368 1704300352 1784189431 2021028736 3408600704 3568378862 7136757724 14273515448 28547030896 57094061792 114188123584 228376247168