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221041242 = 2321743107157
BaseRepresentation
bin11010010110011…
…01001001011010
3120101221001120200
431023031021122
5423041304432
633533403030
75322551052
oct1513151132
9511831520
10221041242
11103854614
1262039476
1336a43646
14214dc562
1514613a7c
hexd2cd25a

221041242 has 96 divisors (see below), whose sum is σ = 527072832. Its totient is φ = 66673152.

The previous prime is 221041237. The next prime is 221041267. The reversal of 221041242 is 242140122.

221041242 is a `hidden beast` number, since 2 + 210 + 412 + 42 = 666.

221041242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1407828 + ... + 1407984.

It is an arithmetic number, because the mean of its divisors is an integer number (5490342).

Almost surely, 2221041242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221041242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263536416).

221041242 is an abundant number, since it is smaller than the sum of its proper divisors (306031590).

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

221041242 is a wasteful number, since it uses less digits than its factorization.

221041242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 221041242 is about 14867.4558011786. The cubic root of 221041242 is about 604.6319661317.

Adding to 221041242 its reverse (242140122), we get a palindrome (463181364).

The spelling of 221041242 in words is "two hundred twenty-one million, forty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 43 51 86 102 107 129 153 157 214 258 306 314 321 387 471 642 731 774 942 963 1413 1462 1819 1926 2193 2669 2826 3638 4386 4601 5338 5457 6579 6751 8007 9202 10914 13158 13502 13803 16014 16371 16799 20253 24021 27606 32742 33598 40506 41409 48042 50397 60759 78217 82818 100794 114767 121518 151191 156434 229534 234651 285583 302382 344301 469302 571166 688602 703953 722357 856749 1032903 1407906 1444714 1713498 2065806 2167071 2570247 4334142 5140494 6501213 12280069 13002426 24560138 36840207 73680414 110520621 221041242