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11233020222 = 234101739929
BaseRepresentation
bin10100111011000101…
…00100100100111110
31001222211220112220000
422131202210210332
5141001123121342
65054350335130
7545236045044
oct123542444476
931884815800
1011233020222
114844824396
122215aba4a6
1310a02a3538
14787c0a394
1545b26c44c
hex29d8a493e

11233020222 has 80 divisors (see below), whose sum is σ = 25481293200. Its totient is φ = 3698265600.

The previous prime is 11233020203. The next prime is 11233020289. The reversal of 11233020222 is 22202033211.

11233020222 is a `hidden beast` number, since 112 + 330 + 2 + 0 + 222 = 666.

11233020222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11233020195 and 11233020204.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 12091054 + ... + 12091982.

It is an arithmetic number, because the mean of its divisors is an integer number (318516165).

Almost surely, 211233020222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11233020222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12740646600).

11233020222 is an abundant number, since it is smaller than the sum of its proper divisors (14248272978).

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

11233020222 is a wasteful number, since it uses less digits than its factorization.

11233020222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 11233020222 its reverse (22202033211), we get a palindrome (33435053433).

The spelling of 11233020222 in words is "eleven billion, two hundred thirty-three million, twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 303 606 739 909 929 1478 1818 1858 2217 2727 2787 4434 5454 5574 6651 8181 8361 13302 16362 16722 19953 25083 39906 50166 59859 74639 75249 93829 119718 149278 150498 187658 223917 281487 447834 562974 671751 686531 844461 1343502 1373062 1688922 2015253 2059593 2533383 4030506 4119186 5066766 6045759 6178779 7600149 12091518 12357558 15200298 18536337 37072674 55609011 69339631 111218022 138679262 208018893 416037786 624056679 1248113358 1872170037 3744340074 5616510111 11233020222