[go: up one dir, main page]

Search a number
-
+
226849896 = 23347133847
BaseRepresentation
bin11011000010101…
…11010001101000
3120210212011120000
431201113101220
5431033144041
634302103000
75423122650
oct1541272150
9523764500
10226849896
11107061759
1263b7aa60
1337cc8510
14221b1360
1514daebb6
hexd857468

226849896 has 160 divisors (see below), whose sum is σ = 782221440. Its totient is φ = 59812992.

The previous prime is 226849879. The next prime is 226849901. The reversal of 226849896 is 698948622.

It is a happy number.

226849896 is a `hidden beast` number, since 2 + 2 + 68 + 498 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 57045 + ... + 60891.

It is an arithmetic number, because the mean of its divisors is an integer number (4888884).

Almost surely, 2226849896 is an apocalyptic number.

226849896 is a gapful number since it is divisible by the number (26) 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 226849896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391110720).

226849896 is an abundant number, since it is smaller than the sum of its proper divisors (555371544).

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

226849896 is a wasteful number, since it uses less digits than its factorization.

226849896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885 (or 3872 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The square root of 226849896 is about 15061.5369733636. The cubic root of 226849896 is about 609.8825322494.

The spelling of 226849896 in words is "two hundred twenty-six million, eight hundred forty-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 81 84 91 104 108 117 126 156 162 168 182 189 216 234 252 273 312 324 351 364 378 468 504 546 567 648 702 728 756 819 936 1053 1092 1134 1404 1512 1638 2106 2184 2268 2457 2808 3276 3847 4212 4536 4914 6552 7371 7694 8424 9828 11541 14742 15388 19656 23082 26929 29484 30776 34623 46164 50011 53858 58968 69246 80787 92328 100022 103869 107716 138492 150033 161574 200044 207738 215432 242361 276984 300066 311607 323148 350077 400088 415476 450099 484722 600132 623214 646296 700154 727083 830952 900198 969444 1050231 1200264 1246428 1350297 1400308 1454166 1800396 1938888 2100462 2181249 2492856 2700594 2800616 2908332 3150693 3600792 4050891 4200924 4362498 5401188 5816664 6301386 8101782 8401848 8724996 9452079 10802376 12602772 16203564 17449992 18904158 25205544 28356237 32407128 37808316 56712474 75616632 113424948 226849896