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10222211233 = 132229264133
BaseRepresentation
bin10011000010100101…
…01001000010100001
3222101101220010122001
421201102221002201
5131413341224413
64410201244001
7511213235053
oct114122510241
928341803561
1010222211233
114376198663
121b93493601
13c6ba50500
146cd8878d3
153ec6534dd
hex2614a90a1

10222211233 has 12 divisors (see below), whose sum is σ = 11117400060. Its totient is φ = 9394646976.

The previous prime is 10222211221. The next prime is 10222211269. The reversal of 10222211233 is 33211222201.

10222211233 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1607824 + 10220603409 = 1268^2 + 101097^2 .

It is not a de Polignac number, because 10222211233 - 25 = 10222211201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10222211233.

It is not an unprimeable number, because it can be changed into a prime (10222211273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93366 + ... + 170767.

It is an arithmetic number, because the mean of its divisors is an integer number (926450005).

Almost surely, 210222211233 is an apocalyptic number.

10222211233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10222211233 is a deficient number, since it is larger than the sum of its proper divisors (895188827).

10222211233 is a wasteful number, since it uses less digits than its factorization.

10222211233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264388 (or 264375 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10222211233 its reverse (33211222201), we get a palindrome (43433433434).

The spelling of 10222211233 in words is "ten billion, two hundred twenty-two million, two hundred eleven thousand, two hundred thirty-three".

Divisors: 1 13 169 229 2977 38701 264133 3433729 44638477 60486457 786323941 10222211233