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10222220211 = 372236474673
BaseRepresentation
bin10011000010100101…
…01011001110110011
3222101101220120221120
421201102223032303
5131413342021321
64410201353323
7511213303200
oct114122531663
928341816846
1010222220211
1143761a4385
121b93498843
13c6ba54618
146cd88aca7
153ec655ec6
hex2614ab3b3

10222220211 has 48 divisors (see below), whose sum is σ = 16573330944. Its totient is φ = 5577470976.

The previous prime is 10222220167. The next prime is 10222220219. The reversal of 10222220211 is 11202222201.

10222220211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10222220211 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10222220219) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2185171 + ... + 2189843.

It is an arithmetic number, because the mean of its divisors is an integer number (345277728).

Almost surely, 210222220211 is an apocalyptic number.

10222220211 is a deficient number, since it is larger than the sum of its proper divisors (6351110733).

10222220211 is a wasteful number, since it uses less digits than its factorization.

10222220211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5360 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10222220211 its reverse (11202222201), we get a palindrome (21424442412).

The spelling of 10222220211 in words is "ten billion, two hundred twenty-two million, two hundred twenty thousand, two hundred eleven".

Divisors: 1 3 7 21 23 49 69 147 161 483 647 1127 1941 3381 4529 4673 13587 14019 14881 31703 32711 44643 95109 98133 104167 107479 228977 312501 322437 686931 729169 752353 2187507 2257059 3023431 5266471 9070293 15799413 21164017 63492051 69538913 148148119 208616739 444444357 486772391 1460317173 3407406737 10222220211