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229214544 = 243131073433
BaseRepresentation
bin11011010100110…
…00100101010000
3120222022022020120
431222120211100
5432134331134
634424510240
75452201656
oct1552304520
9528268216
10229214544
11108427309
126491b380
1338645910
1422628dd6
15151ca649
hexda98950

229214544 has 80 divisors (see below), whose sum is σ = 643833792. Its totient is φ = 69848064.

The previous prime is 229214539. The next prime is 229214561. The reversal of 229214544 is 445412922.

It is a happy number.

It is a super-2 number, since 2×2292145442 = 105078614362255872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65052 + ... + 68484.

Almost surely, 2229214544 is an apocalyptic number.

229214544 is a gapful number since it is divisible by the number (24) 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 229214544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321916896).

229214544 is an abundant number, since it is smaller than the sum of its proper divisors (414619248).

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

229214544 is a wasteful number, since it uses less digits than its factorization.

229214544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3558 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 229214544 is about 15139.8330241783. The cubic root of 229214544 is about 611.9943183718.

It can be divided in two parts, 2292 and 14544, that added together give a triangular number (16836 = T183).

The spelling of 229214544 in words is "two hundred twenty-nine million, two hundred fourteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 107 156 208 214 312 321 428 624 642 856 1284 1391 1712 2568 2782 3433 4173 5136 5564 6866 8346 10299 11128 13732 16692 20598 22256 27464 33384 41196 44629 54928 66768 82392 89258 133887 164784 178516 267774 357032 367331 535548 714064 734662 1071096 1101993 1469324 2142192 2203986 2938648 4407972 4775303 5877296 8815944 9550606 14325909 17631888 19101212 28651818 38202424 57303636 76404848 114607272 229214544