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227985648 = 24311538147
BaseRepresentation
bin11011001011011…
…00100011110000
3120212222212111220
431211230203300
5431331020043
634342305040
75435563122
oct1545544360
9525885456
10227985648
11107767aa0
1264428180
1338305467
14223c9212
1515036483
hexd96c8f0

227985648 has 80 divisors (see below), whose sum is σ = 654708096. Its totient is φ = 67774720.

The previous prime is 227985647. The next prime is 227985661. The reversal of 227985648 is 846589722.

227985648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 227985648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (227985647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23911 + ... + 32057.

Almost surely, 2227985648 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 227985648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327354048).

227985648 is an abundant number, since it is smaller than the sum of its proper divisors (426722448).

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

227985648 is a wasteful number, since it uses less digits than its factorization.

227985648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8222 (or 8216 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 227985648 is about 15099.1936208527. The cubic root of 227985648 is about 610.8986557368.

The spelling of 227985648 in words is "two hundred twenty-seven million, nine hundred eighty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 53 66 88 106 132 159 176 212 264 318 424 528 583 636 848 1166 1272 1749 2332 2544 3498 4664 6996 8147 9328 13992 16294 24441 27984 32588 48882 65176 89617 97764 130352 179234 195528 268851 358468 391056 431791 537702 716936 863582 1075404 1295373 1433872 1727164 2150808 2590746 3454328 4301616 4749701 5181492 6908656 9499402 10362984 14249103 18998804 20725968 28498206 37997608 56996412 75995216 113992824 227985648