Search a number
-
+
229921280 = 2951929163
BaseRepresentation
bin11011011010001…
…01001000000000
3121000122012200222
431231011020000
5432324440110
634452002212
75461204301
oct1555051000
9530565628
10229921280
1110886a296
1265000368
13388324c4
14227707a8
15152b9c55
hexdb45200

229921280 has 160 divisors (see below), whose sum is σ = 603979200. Its totient is φ = 83607552.

The previous prime is 229921259. The next prime is 229921297. The reversal of 229921280 is 82129922.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 229921280.

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, 1410479 + ... + 1410641.

It is an arithmetic number, because the mean of its divisors is an integer number (3774870).

Almost surely, 2229921280 is an apocalyptic number.

229921280 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 229921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301989600).

229921280 is an abundant number, since it is smaller than the sum of its proper divisors (374057920).

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

229921280 is a wasteful number, since it uses less digits than its factorization.

229921280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 229921280 is about 15163.1553444526. The cubic root of 229921280 is about 612.6226593163.

The spelling of 229921280 in words is "two hundred twenty-nine million, nine hundred twenty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 64 76 80 95 116 128 145 152 160 163 190 232 256 290 304 320 326 380 464 512 551 580 608 640 652 760 815 928 1102 1160 1216 1280 1304 1520 1630 1856 2204 2320 2432 2560 2608 2755 3040 3097 3260 3712 4408 4640 4727 4864 5216 5510 6080 6194 6520 7424 8816 9280 9454 9728 10432 11020 12160 12388 13040 14848 15485 17632 18560 18908 20864 22040 23635 24320 24776 26080 30970 35264 37120 37816 41728 44080 47270 48640 49552 52160 61940 70528 74240 75632 83456 88160 89813 94540 99104 104320 123880 141056 151264 176320 179626 189080 198208 208640 247760 282112 302528 352640 359252 378160 396416 417280 449065 495520 605056 705280 718504 756320 792832 898130 991040 1210112 1410560 1437008 1512640 1585664 1796260 1982080 2420224 2874016 3025280 3592520 3964160 5748032 6050560 7185040 7928320 11496064 12101120 14370080 22992128 28740160 45984256 57480320 114960640 229921280