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10221222305 = 574147151549
BaseRepresentation
bin10011000010011101…
…10111100110100001
3222101100000220002002
421201032313212201
5131413113103210
64410124133345
7511201645640
oct114116674641
928340026062
1010221222305
114375682668
121b93097255
13c6b795348
146cd6ab357
153ec50a4a5
hex2613b79a1

10221222305 has 32 divisors (see below), whose sum is σ = 14665190400. Its totient is φ = 6692359680.

The previous prime is 10221222233. The next prime is 10221222343. The reversal of 10221222305 is 50322212201.

10221222305 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10221222305 - 212 = 10221218209 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8330 + ... + 143219.

It is an arithmetic number, because the mean of its divisors is an integer number (458287200).

Almost surely, 210221222305 is an apocalyptic number.

It is an amenable number.

10221222305 is a deficient number, since it is larger than the sum of its proper divisors (4443968095).

10221222305 is a wasteful number, since it uses less digits than its factorization.

10221222305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151649.

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10221222305 its reverse (50322212201), we get a palindrome (60543434506).

The spelling of 10221222305 in words is "ten billion, two hundred twenty-one million, two hundred twenty-two thousand, three hundred five".

Divisors: 1 5 7 35 41 47 205 235 287 329 1435 1645 1927 9635 13489 67445 151549 757745 1060843 5304215 6213509 7122803 31067545 35614015 43494563 49859621 217472815 249298105 292034923 1460174615 2044244461 10221222305