Search a number
-
+
229554067860 = 2232513109389753
BaseRepresentation
bin1101010111001001111…
…1010001100110010100
3210221112000110212222100
43111302133101212110
512230111320132420
6253242232202100
722404364245105
oct3256237214624
9727460425870
10229554067860
1189398317877
12385a5239330
13188541accb0
14b17920a3ac
155e87d65190
hex35727d1994

229554067860 has 144 divisors (see below), whose sum is σ = 750571056144. Its totient is φ = 56453289984.

The previous prime is 229554067859. The next prime is 229554067891. The reversal of 229554067860 is 68760455922.

229554067860 is a `hidden beast` number, since 2 + 2 + 9 + 554 + 0 + 6 + 7 + 86 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12245192964 + 217308874896 = 110658^2 + 466164^2 .

It is a junction number, because it is equal to n+sod(n) for n = 229554067797 and 229554067806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2512744 + ... + 2602496.

It is an arithmetic number, because the mean of its divisors is an integer number (5212299001).

Almost surely, 2229554067860 is an apocalyptic number.

229554067860 is a gapful number since it is divisible by the number (20) 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 229554067860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375285528072).

229554067860 is an abundant number, since it is smaller than the sum of its proper divisors (521016988284).

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

229554067860 is a wasteful number, since it uses less digits than its factorization.

229554067860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90874 (or 90869 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 229554067860 in words is "two hundred twenty-nine billion, five hundred fifty-four million, sixty-seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1093 1170 2186 2340 3279 4372 5465 6558 9837 10930 13116 14209 16395 19674 21860 28418 32790 39348 42627 49185 56836 65580 71045 85254 89753 98370 127881 142090 170508 179506 196740 213135 255762 269259 284180 359012 426270 448765 511524 538518 639405 807777 852540 897530 1077036 1166789 1278810 1346295 1615554 1795060 2333578 2557620 2692590 3231108 3500367 4038885 4667156 5385180 5833945 7000734 8077770 10501101 11667890 14001468 16155540 17501835 21002202 23335780 35003670 42004404 52505505 70007340 98100029 105011010 196200058 210022020 294300087 392400116 490500145 588600174 882900261 981000290 1177200348 1275300377 1471500435 1765800522 1962000580 2550600754 2943000870 3531601044 3825901131 4414501305 5101201508 5886001740 6376501885 7651802262 8829002610 11477703393 12753003770 15303604524 17658005220 19129505655 22955406786 25506007540 38259011310 45910813572 57388516965 76518022620 114777033930 229554067860