Search a number
-
+
10221345222 = 23111923354391
BaseRepresentation
bin10011000010011110…
…10101100111000110
3222101100021010200120
421201033111213012
5131413131021342
64410130522410
7511203000204
oct114117254706
928340233616
1010221345222
114375756a50
121b93136406
13c6b80928a
146cd700074
153ec531aec
hex2613d59c6

10221345222 has 64 divisors (see below), whose sum is σ = 24495575040. Its totient is φ = 2806768800.

The previous prime is 10221345209. The next prime is 10221345227. The reversal of 10221345222 is 22254312201.

10221345222 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 = 10221345192 and 10221345201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221345227) 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 31 ways as a sum of consecutive naturals, for example, 148354 + ... + 206037.

It is an arithmetic number, because the mean of its divisors is an integer number (382743360).

Almost surely, 210221345222 is an apocalyptic number.

10221345222 is an abundant number, since it is smaller than the sum of its proper divisors (14274229818).

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

10221345222 is a wasteful number, since it uses less digits than its factorization.

10221345222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354449.

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10221345222 its reverse (22254312201), we get a palindrome (32475657423).

The spelling of 10221345222 in words is "ten billion, two hundred twenty-one million, three hundred forty-five thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 23 33 38 46 57 66 69 114 138 209 253 418 437 506 627 759 874 1254 1311 1518 2622 4807 9614 14421 28842 354391 708782 1063173 2126346 3898301 6733429 7796602 8150993 11694903 13466858 16301986 20200287 23389806 24452979 40400574 48905958 74067719 89660923 148135438 154868867 179321846 222203157 268982769 309737734 444406314 464606601 537965538 929213202 1703557537 3407115074 5110672611 10221345222