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221426340 = 223561101599
BaseRepresentation
bin11010011001010…
…11001010100100
3120102122121211120
431030223022210
5423141120330
633545533540
75326043562
oct1514531244
9512577746
10221426340
11103a97983
12621a42b0
1336b49a05
142159ca32
151468cc10
hexd32b2a4

221426340 has 96 divisors (see below), whose sum is σ = 637459200. Its totient is φ = 57408000.

The previous prime is 221426327. The next prime is 221426341. The reversal of 221426340 is 43624122.

It is a self number, because there is not a number n which added to its sum of digits gives 221426340.

It is not an unprimeable number, because it can be changed into a prime (221426341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 369361 + ... + 369959.

It is an arithmetic number, because the mean of its divisors is an integer number (6640200).

Almost surely, 2221426340 is an apocalyptic number.

221426340 is a gapful number since it is divisible by the number (20) 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 221426340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318729600).

221426340 is an abundant number, since it is smaller than the sum of its proper divisors (416032860).

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

221426340 is a wasteful number, since it uses less digits than its factorization.

221426340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 221426340 is about 14880.4012042687. The cubic root of 221426340 is about 604.9828923059.

It can be divided in two parts, 22142 and 6340, that added together give a palindrome (28482).

The spelling of 221426340 in words is "two hundred twenty-one million, four hundred twenty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 101 122 183 202 244 303 305 366 404 505 599 606 610 732 915 1010 1198 1212 1220 1515 1797 1830 2020 2396 2995 3030 3594 3660 5990 6060 6161 7188 8985 11980 12322 17970 18483 24644 30805 35940 36539 36966 60499 61610 73078 73932 92415 109617 120998 123220 146156 181497 182695 184830 219234 241996 302495 362994 365390 369660 438468 548085 604990 725988 730780 907485 1096170 1209980 1814970 2192340 3629940 3690439 7380878 11071317 14761756 18452195 22142634 36904390 44285268 55356585 73808780 110713170 221426340