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221120224 = 25131731267
BaseRepresentation
bin11010010111000…
…00011011100000
3120102002001220221
431023200123200
5423101321344
633535212424
75323330243
oct1513403340
9512061827
10221120224
111038a8996
1262077114
1336a70590
142151d25a
151462c184
hexd2e06e0

221120224 has 48 divisors (see below), whose sum is σ = 496410768. Its totient is φ = 96049152.

The previous prime is 221120219. The next prime is 221120231. The reversal of 221120224 is 422021122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 221120198 and 221120207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8562 + ... + 22705.

It is an arithmetic number, because the mean of its divisors is an integer number (10341891).

Almost surely, 2221120224 is an apocalyptic number.

It is an amenable number.

221120224 is an abundant number, since it is smaller than the sum of its proper divisors (275290544).

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

221120224 is a wasteful number, since it uses less digits than its factorization.

221120224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31307 (or 31299 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 221120224 is about 14870.1117682417. Note that the first 3 decimals coincide. The cubic root of 221120224 is about 604.7039728377.

Adding to 221120224 its reverse (422021122), we get a palindrome (643141346).

The spelling of 221120224 in words is "two hundred twenty-one million, one hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1768 3536 7072 31267 62534 125068 250136 406471 500272 531539 812942 1000544 1063078 1625884 2126156 3251768 4252312 6503536 6910007 8504624 13007072 13820014 17009248 27640028 55280056 110560112 221120224