Search a number
-
+
228440160 = 253251312203
BaseRepresentation
bin11011001110110…
…11100001100000
3120220211221222200
431213123201200
5431440041120
634400133200
75442465204
oct1547334140
9526757880
10228440160
11107a48523
1264607200
13384342c0
14224a6b04
15150c5e90
hexd9db860

228440160 has 144 divisors (see below), whose sum is σ = 839586384. Its totient is φ = 56226816.

The previous prime is 228440159. The next prime is 228440161. The reversal of 228440160 is 61044822.

228440160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228440159) and next prime (228440161).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228440161) 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, 12619 + ... + 24821.

It is an arithmetic number, because the mean of its divisors is an integer number (5830461).

Almost surely, 2228440160 is an apocalyptic number.

228440160 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 228440160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419793192).

228440160 is an abundant number, since it is smaller than the sum of its proper divisors (611146224).

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

228440160 is a wasteful number, since it uses less digits than its factorization.

228440160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12237 (or 12226 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 228440160 is about 15114.2369969509. The cubic root of 228440160 is about 611.3043486120.

Adding to 228440160 its reverse (61044822), we get a palindrome (289484982).

The spelling of 228440160 in words is "two hundred twenty-eight million, four hundred forty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 12203 18720 24406 36609 48812 61015 73218 97624 109827 122030 146436 158639 183045 195248 219654 244060 292872 317278 366090 390496 439308 475917 488120 549135 585744 634556 732180 793195 878616 951834 976240 1098270 1171488 1269112 1427751 1464360 1586390 1757232 1903668 1952480 2196540 2379585 2538224 2855502 2928720 3172780 3514464 3807336 4393080 4759170 5076448 5711004 5857440 6345560 7138755 7614672 8786160 9518340 11422008 12691120 14277510 15229344 17572320 19036680 22844016 25382240 28555020 38073360 45688032 57110040 76146720 114220080 228440160