Search a number
-
+
2206021122 = 233791812857
BaseRepresentation
bin1000001101111101…
…0011011000000010
312200202000111002000
42003133103120002
514004220133442
61002522404430
7105444604314
oct20337233002
95622014060
102206021122
11a32272358
12516960716
1329205c156
1416cda77b4
15cda0ad4c
hex837d3602

2206021122 has 64 divisors (see below), whose sum is σ = 4993497600. Its totient is φ = 721768320.

The previous prime is 2206021021. The next prime is 2206021127. The reversal of 2206021122 is 2211206022.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2206021095 and 2206021104.

It is not an unprimeable number, because it can be changed into a prime (2206021127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 770718 + ... + 773574.

It is an arithmetic number, because the mean of its divisors is an integer number (78023400).

Almost surely, 22206021122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2206021122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496748800).

2206021122 is an abundant number, since it is smaller than the sum of its proper divisors (2787476478).

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

2206021122 is a wasteful number, since it uses less digits than its factorization.

2206021122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3128 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2206021122 is about 46968.2991175963. The cubic root of 2206021122 is about 1301.7768841917.

Adding to 2206021122 its reverse (2211206022), we get a palindrome (4417227144).

The spelling of 2206021122 in words is "two billion, two hundred six million, twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 79 158 181 237 362 474 543 711 1086 1422 1629 2133 2857 3258 4266 4887 5714 8571 9774 14299 17142 25713 28598 42897 51426 77139 85794 128691 154278 225703 257382 386073 451406 517117 677109 772146 1034234 1354218 1551351 2031327 3102702 4062654 4654053 6093981 9308106 12187962 13962159 27924318 40852243 81704486 122556729 245113458 367670187 735340374 1103010561 2206021122