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228853940832 = 253211307235307
BaseRepresentation
bin1101010100100011000…
…0100000001001100000
3210212201020001202020200
43111020300200021200
512222143102101312
6253044542105200
722351133254326
oct3251060401140
9725636052220
10228853940832
11890690a0aa0
123842a87b200
1318772127b4a
14b11023bd16
155e4666a0dc
hex3548c20260

228853940832 has 144 divisors (see below), whose sum is σ = 712282963392. Its totient is φ = 69123490560.

The previous prime is 228853940813. The next prime is 228853940837. The reversal of 228853940832 is 238049358822.

228853940832 is a `hidden beast` number, since 2 + 28 + 8 + 539 + 4 + 0 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228853940837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 854923 + ... + 1090229.

It is an arithmetic number, because the mean of its divisors is an integer number (4946409468).

Almost surely, 2228853940832 is an apocalyptic number.

228853940832 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 228853940832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356141481696).

228853940832 is an abundant number, since it is smaller than the sum of its proper divisors (483429022560).

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

228853940832 is a wasteful number, since it uses less digits than its factorization.

228853940832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235641 (or 235630 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

It can be divided in two parts, 228853 and 940832, that added together give a triangular number (1169685 = T1529).

The spelling of 228853940832 in words is "two hundred twenty-eight billion, eight hundred fifty-three million, nine hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 307 352 396 528 614 792 921 1056 1228 1584 1842 2456 2763 3168 3377 3684 4912 5526 6754 7368 9824 10131 11052 13508 14736 20262 22104 27016 29472 30393 40524 44208 54032 60786 81048 88416 108064 121572 162096 235307 243144 324192 470614 486288 705921 941228 972576 1411842 1882456 2117763 2588377 2823684 3764912 4235526 5176754 5647368 7529824 7765131 8471052 10353508 11294736 15530262 16942104 20707016 22589472 23295393 31060524 33884208 41414032 46590786 62121048 67768416 72239249 82828064 93181572 124242096 144478498 186363144 216717747 248484192 288956996 372726288 433435494 577913992 650153241 745452576 794631739 866870988 1155827984 1300306482 1589263478 1733741976 2311655968 2383895217 2600612964 3178526956 3467483952 4767790434 5201225928 6357053912 6934967904 7151685651 9535580868 10402451856 12714107824 14303371302 19071161736 20804903712 25428215648 28606742604 38142323472 57213485208 76284646944 114426970416 228853940832