Search a number
-
+
160228224 = 2732132823
BaseRepresentation
bin10011000110011…
…10001110000000
3102011111102210200
421203032032000
5312004300344
623522125200
73653626452
oct1143161600
9364442720
10160228224
1182498922
12457b0800
1327270600
14173cc2d2
15e100069
hex98ce380

160228224 has 144 divisors (see below), whose sum is σ = 499875480. Its totient is φ = 49241088.

The previous prime is 160228223. The next prime is 160228231. The reversal of 160228224 is 422822061.

160228224 = 4932 + 4942 + ... + 8432.

It is a happy number.

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 (160228223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194277 + ... + 195099.

Almost surely, 2160228224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 160228224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249937740).

160228224 is an abundant number, since it is smaller than the sum of its proper divisors (339647256).

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

160228224 is a wasteful number, since it uses less digits than its factorization.

160228224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869 (or 841 counting only the distinct ones).

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

The square root of 160228224 is about 12658.1287716629. The cubic root of 160228224 is about 543.1415237065.

The spelling of 160228224 in words is "one hundred sixty million, two hundred twenty-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 169 192 208 234 288 312 338 384 416 468 507 576 624 676 823 832 936 1014 1152 1248 1352 1521 1646 1664 1872 2028 2469 2496 2704 3042 3292 3744 4056 4938 4992 5408 6084 6584 7407 7488 8112 9876 10699 10816 12168 13168 14814 14976 16224 19752 21398 21632 24336 26336 29628 32097 32448 39504 42796 48672 52672 59256 64194 64896 79008 85592 96291 97344 105344 118512 128388 139087 158016 171184 192582 194688 237024 256776 278174 316032 342368 385164 417261 474048 513552 556348 684736 770328 834522 948096 1027104 1112696 1251783 1369472 1540656 1669044 2054208 2225392 2503566 3081312 3338088 4108416 4450784 5007132 6162624 6676176 8901568 10014264 12325248 13352352 17803136 20028528 26704704 40057056 53409408 80114112 160228224