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228731745312 = 25327376930103
BaseRepresentation
bin1101010100000101111…
…0010111010000100000
3210212101201010120111200
43111001132113100200
512221420311322222
6253024455041200
722345120520220
oct3250136272040
9725351116450
10228731745312
118900611a764
12383b5970200
1318752a127c5
14b0dbd10080
155e3aa7deac
hex3541797420

228731745312 has 144 divisors (see below), whose sum is σ = 743600108160. Its totient is φ = 65332417536.

The previous prime is 228731745251. The next prime is 228731745329. The reversal of 228731745312 is 213547137822.

228731745312 is a `hidden beast` number, since 2 + 2 + 87 + 31 + 7 + 4 + 531 + 2 = 666.

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

It is a super-2 number, since 2×2287317453122 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7583253 + ... + 7613355.

It is an arithmetic number, because the mean of its divisors is an integer number (5163889640).

Almost surely, 2228731745312 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 228731745312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371800054080).

228731745312 is an abundant number, since it is smaller than the sum of its proper divisors (514868362848).

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

228731745312 is a wasteful number, since it uses less digits than its factorization.

228731745312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33895 (or 33884 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 228731745312 in words is "two hundred twenty-eight billion, seven hundred thirty-one million, seven hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 3769 7538 11307 15076 22614 26383 30103 30152 33921 45228 52766 60206 60304 67842 79149 90309 90456 105532 120412 120608 135684 158298 180618 180912 210721 211064 237447 240824 270927 271368 316596 361236 361824 421442 422128 474894 481648 541854 542736 632163 633192 722472 842884 844256 949788 963296 1083708 1085472 1264326 1266384 1444944 1685768 1896489 1899576 2167416 2528652 2532768 2889888 3371536 3792978 3799152 4334832 5057304 6743072 7585956 7598304 8669664 10114608 15171912 20229216 30343824 60687648 113458207 226916414 340374621 453832828 680749242 794207449 907665656 1021123863 1361498484 1588414898 1815331312 2042247726 2382622347 2722996968 3176829796 3630662624 4084495452 4765244694 5445993936 6353659592 7147867041 8168990904 9530489388 10891987872 12707319184 14295734082 16337981808 19060978776 25414638368 28591468164 32675963616 38121957552 57182936328 76243915104 114365872656 228731745312