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221103041232 = 24373211299053
BaseRepresentation
bin1100110111101011000…
…1001010101011010000
3210010201001101020212010
43031322301022223100
512110304334304412
6245323501302520
721655065561363
oct3157261125320
9703631336763
10221103041232
11858509a2447
1236a26b64a40
1317b083a0b18
14a9b6a980da
155b40e7733c
hex337ac4aad0

221103041232 has 80 divisors (see below), whose sum is σ = 581753334848. Its totient is φ = 72346659840.

The previous prime is 221103041231. The next prime is 221103041329. The reversal of 221103041232 is 232140301122.

221103041232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 221103041199 and 221103041208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221103041231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589818 + ... + 888870.

Almost surely, 2221103041232 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 221103041232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290876667424).

221103041232 is an abundant number, since it is smaller than the sum of its proper divisors (360650293616).

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

221103041232 is a wasteful number, since it uses less digits than its factorization.

221103041232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299348 (or 299342 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 221103041232 its reverse (232140301122), we get a palindrome (453243342354).

The spelling of 221103041232 in words is "two hundred twenty-one billion, one hundred three million, forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 211 219 292 422 438 584 633 844 876 1168 1266 1688 1752 2532 3376 3504 5064 10128 15403 30806 46209 61612 92418 123224 184836 246448 299053 369672 598106 739344 897159 1196212 1794318 2392424 3588636 4784848 7177272 14354544 21830869 43661738 63100183 65492607 87323476 126200366 130985214 174646952 189300549 252400732 261970428 349293904 378601098 504801464 523940856 757202196 1009602928 1047881712 1514404392 3028808784 4606313359 9212626718 13818940077 18425253436 27637880154 36850506872 55275760308 73701013744 110551520616 221103041232