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229042728 = 23343741233
BaseRepresentation
bin11011010011011…
…10101000101000
3120221222120120000
431221232220220
5432113331403
634421103000
75450555025
oct1551565050
9527876500
10229042728
1110831a212
1264857a60
13385b5655
14225c254c
15151947a3
hexda6ea28

229042728 has 160 divisors (see below), whose sum is σ = 677837160. Its totient is φ = 72161280.

The previous prime is 229042633. The next prime is 229042729. The reversal of 229042728 is 827240922.

It is a happy number.

229042728 is a `hidden beast` number, since 229 + 0 + 427 + 2 + 8 = 666.

229042728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 154703844 + 74338884 = 12438^2 + 8622^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 229042692 and 229042701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229042729) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 982900 + ... + 983132.

Almost surely, 2229042728 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 229042728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338918580).

229042728 is an abundant number, since it is smaller than the sum of its proper divisors (448794432).

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

229042728 is a wasteful number, since it uses less digits than its factorization.

229042728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 229042728 is about 15134.1576574317. The cubic root of 229042728 is about 611.8413660358.

The spelling of 229042728 in words is "two hundred twenty-nine million, forty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 41 54 72 74 81 82 108 111 123 148 162 164 216 222 233 246 296 324 328 333 369 444 466 492 648 666 699 738 888 932 984 999 1107 1332 1398 1476 1517 1864 1998 2097 2214 2664 2796 2952 2997 3034 3321 3996 4194 4428 4551 5592 5994 6068 6291 6642 7992 8388 8621 8856 9102 9553 11988 12136 12582 13284 13653 16776 17242 18204 18873 19106 23976 25164 25863 26568 27306 28659 34484 36408 37746 38212 40959 50328 51726 54612 57318 68968 75492 76424 77589 81918 85977 103452 109224 114636 122877 150984 155178 163836 171954 206904 229272 232767 245754 257931 310356 327672 343908 353461 465534 491508 515862 620712 687816 698301 706922 773793 931068 983016 1031724 1060383 1396602 1413844 1547586 1862136 2063448 2120766 2793204 2827688 3095172 3181149 4241532 5586408 6190344 6362298 8483064 9543447 12724596 19086894 25449192 28630341 38173788 57260682 76347576 114521364 229042728