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221095056 = 24373131033
BaseRepresentation
bin11010010110110…
…10010010010000
3120102000210101210
431023122102100
5423100020211
633534500120
75323164000
oct1513322220
9512023353
10221095056
11103890a96
1262064640
1336a61ca0
1421514000
15146249a6
hexd2da490

221095056 has 160 divisors (see below), whose sum is σ = 718009600. Its totient is φ = 58254336.

The previous prime is 221095051. The next prime is 221095057. The reversal of 221095056 is 650590122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (221095051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213516 + ... + 214548.

It is an arithmetic number, because the mean of its divisors is an integer number (4487560).

Almost surely, 2221095056 is an apocalyptic number.

221095056 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 221095056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359004800).

221095056 is an abundant number, since it is smaller than the sum of its proper divisors (496914544).

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

221095056 is a wasteful number, since it uses less digits than its factorization.

221095056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 221095056 is about 14869.2654828677. The cubic root of 221095056 is about 604.6810294108.

The spelling of 221095056 in words is "two hundred twenty-one million, ninety-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 343 364 392 546 588 624 637 686 728 784 1029 1033 1092 1176 1274 1372 1456 1911 2058 2066 2184 2352 2548 2744 3099 3822 4116 4132 4368 4459 5096 5488 6198 7231 7644 8232 8264 8918 10192 12396 13377 13429 14462 15288 16464 16528 17836 21693 24792 26754 26858 28924 30576 35672 40287 43386 49584 50617 53508 53716 57848 71344 80574 86772 94003 101234 107016 107432 115696 151851 161148 173544 188006 202468 214032 214864 282009 303702 322296 347088 354319 376012 404936 564018 607404 644592 658021 708638 752024 809872 1062957 1128036 1214808 1316042 1417276 1504048 1974063 2125914 2256072 2429616 2632084 2834552 3948126 4251828 4512144 4606147 5264168 5669104 7896252 8503656 9212294 10528336 13818441 15792504 17007312 18424588 27636882 31585008 36849176 55273764 73698352 110547528 221095056