Search a number
-
+
229120080 = 24357219483
BaseRepresentation
bin11011010100000…
…01100001010000
3120222010111122220
431222001201100
5432123320310
634422501040
75451326400
oct1552014120
9528114586
10229120080
11108372342
1264894780
1338611917
1422602800
15151ac670
hexda81850

229120080 has 120 divisors (see below), whose sum is σ = 826277472. Its totient is φ = 52367616.

The previous prime is 229120061. The next prime is 229120081. The reversal of 229120080 is 80021922.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2291200802 = 104992022118412800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 229120080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229120081) 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, 2019 + ... + 21501.

Almost surely, 2229120080 is an apocalyptic number.

229120080 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 229120080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413138736).

229120080 is an abundant number, since it is smaller than the sum of its proper divisors (597157392).

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

229120080 is a wasteful number, since it uses less digits than its factorization.

229120080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19513 (or 19500 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 229120080 is about 15136.7129853215. The cubic root of 229120080 is about 611.9102350295.

The spelling of 229120080 in words is "two hundred twenty-nine million, one hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 19483 38966 58449 77932 97415 116898 136381 155864 194830 233796 272762 292245 311728 389660 409143 467592 545524 584490 681905 779320 818286 935184 954667 1091048 1168980 1363810 1558640 1636572 1909334 2045715 2182096 2337960 2727620 2864001 3273144 3818668 4091430 4675920 4773335 5455240 5728002 6546288 7637336 8182860 9546670 10910480 11456004 14320005 15274672 16365720 19093340 22912008 28640010 32731440 38186680 45824016 57280020 76373360 114560040 229120080